@inproceedings{OPUS4-2457,
  title     = {International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2457},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20150916-24571},
  pages     = {434},
  abstract  = {The 19th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering will be held at the Bauhaus University Weimar from 4th till 6th July 2012. Architects, computer scientists, mathematicians, and engineers from all over the world will meet in Weimar for an interdisciplinary exchange of experiences, to report on their results in research, development and practice and to discuss. The conference covers a broad range of research areas: numerical analysis, function theoretic methods, partial differential equations, continuum mechanics, engineering applications, coupled problems, computer sciences, and related topics. Several plenary lectures in aforementioned areas will take place during the conference. We invite architects, engineers, designers, computer scientists, mathematicians, planners, project managers, and software developers from business, science and research to participate in the conference!},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{OPUS4-2451,
  title     = {International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2451},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20150828-24515},
  pages     = {230},
  abstract  = {The 20th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering will be held at the Bauhaus University Weimar from 20th till 22nd July 2015. Architects, computer scientists, mathematicians, and engineers from all over the world will meet in Weimar for an interdisciplinary exchange of experiences, to report on their results in research, development and practice and to discuss. The conference covers a broad range of research areas: numerical analysis, function theoretic methods, partial differential equations, continuum mechanics, engineering applications, coupled problems, computer sciences, and related topics. Several plenary lectures in aforementioned areas will take place during the conference. We invite architects, engineers, designers, computer scientists, mathematicians, planners, project managers, and software developers from business, science and research to participate in the conference!},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{AbbasMorgenthal,
  author    = {Abbas, Tajammal and Morgenthal, Guido},
  title     = {Model combinations for assessing the flutter stability of suspension bridges},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2757},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170306-27574},
  pages     = {11},
  abstract  = {Long-span cable supported bridges are prone to aerodynamic instabilities caused by wind and this phenomenon is usually a major design criterion. If the wind speed exceeds the critical flutter speed of the bridge, this constitutes an Ultimate Limit State. The prediction of the flutter boundary therefore requires accurate and robust models. This paper aims at studying various combinations of models to predict the flutter phenomenon. Since flutter is a coupling of aerodynamic forcing with a structural dynamics problem, different types and classes of models can be combined to study the interaction. Here, both numerical approaches and analytical models are utilised and coupled in different ways to assess the prediction quality of the hybrid model. Models for aerodynamic forces employed are the analytical Theodorsen expressions for the motion-enduced aerodynamic forces of a flat plate and Scanlan derivatives as a Meta model. Further, Computational Fluid Dynamics (CFD) simulations using the Vortex Particle Method (VPM) were used to cover numerical models. The structural representations were dimensionally reduced to two degree of freedom section models calibrated from global models as well as a fully three-dimensional Finite Element (FE) model. A two degree of freedom system was analysed analytically as well as numerically. Generally, all models were able to predict the flutter phenomenon and relatively close agreement was found for the particular bridge. In conclusion, the model choice for a given practical analysis scenario will be discussed in the context of the analysis findings.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{AbuAbedMilbradt,
  author    = {Abu Abed, Wassim and Milbradt, Peter},
  title     = {UNDERSTANDING THE ASPECT OF FUZZINESS IN INTERPOLATION METHODS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2872},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28726},
  pages     = {22},
  abstract  = {Fuzzy functions are suitable to deal with uncertainties and fuzziness in a closed form maintaining the informational content. This paper tries to understand, elaborate, and explain the problem of interpolating crisp and fuzzy data using continuous fuzzy valued functions. Two main issues are addressed here. The first covers how the fuzziness, induced by the reduction and deficit of information i.e. the discontinuity of the interpolated points, can be evaluated considering the used interpolation method and the density of the data. The second issue deals with the need to differentiate between impreciseness and hence fuzziness only in the interpolated quantity, impreciseness only in the location of the interpolated points and impreciseness in both the quantity and the location. In this paper, a brief background of the concept of fuzzy numbers and of fuzzy functions is presented. The numerical side of computing with fuzzy numbers is concisely demonstrated. The problem of fuzzy polynomial interpolation, the interpolation on meshes and mesh free fuzzy interpolation is investigated. The integration of the previously noted uncertainty into a coherent fuzzy valued function is discussed. Several sets of artificial and original measured data are used to examine the mentioned fuzzy interpolations.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{AchenbachLahmerMorgenthal,
  author    = {Achenbach, Marcus and Lahmer, Tom and Morgenthal, Guido},
  title     = {Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire - A Comparison of Methods},
  series = {14th International Probabilistic Workshop},
  journal   = {14th International Probabilistic Workshop},
  pages     = {97 -- 106},
  abstract  = {Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire—A Comparison of Methods},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{AhmadZabelKoenke,
  author    = {Ahmad, Sofyan and Zabel, Volkmar and K{\"o}nke, Carsten},
  title     = {WAVELET-BASED INDICATORS FOR RESPONSE SURFACE MODELS IN DAMAGE IDENTIFICATION OF STRUCTURES},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2758},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170306-27588},
  pages     = {14},
  abstract  = {In this paper, wavelet energy damage indicator is used in response surface methodology to identify the damage in simulated filler beam railway bridge. The approximate model is addressed to include the operational and surrounding condition in the assessment. The procedure is split into two stages, the training and detecting phase. During training phase, a so-called response surface is built from training data using polynomial regression and radial basis function approximation approaches. The response surface is used to detect the damage in structure during detection phase. The results show that the response surface model is able to detect moderate damage in one of bridge supports while the temperatures and train velocities are varied.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{AhmedElSayedRashwanKamal,
  author    = {Ahmed El-Sayed, Ahmed and Rashwan, R. A. and Kamal, A.},
  title     = {HADAMARD GAPS IN WEIGHTED LOGARITHMIC BLOCH SPACE},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2827},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28275},
  pages     = {20},
  abstract  = {We give a sufficient and a necessary condition for an analytic function "f" on the unit disk "D" with Hadamard gap to belong to a class of weighted logarithmic Bloch space as well as to the corresponding little weighted logarithmic Bloch space under some conditions posed on the defined weight function. Also, we study the relations between the class of weighted logarithmic Bloch functions and some other classes of analytic functions by the help of analytic functions in the Hadamard gap class.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{AlYasiriGuerlebeck,
  author    = {Al-Yasiri, Zainab and G{\"u}rlebeck, Klaus},
  title     = {ON BOUNDARY VALUE PROBLEMS FOR P-LAPLACE AND P-DIRAC EQUATIONS},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2792},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27928},
  pages     = {8},
  abstract  = {The p-Laplace equation is a nonlinear generalization of the Laplace equation. This generalization is often used as a model problem for special types of nonlinearities. The p-Laplace equation can be seen as a bridge between very general nonlinear equations and the linear Laplace equation. The aim of this paper is to solve the p-Laplace equation for 2 < p < 3 and to find strong solutions. The idea is to apply a hypercomplex integral operator and spatial function theoretic methods to transform the p-Laplace equation into the p-Dirac equation. This equation will be solved iteratively by using a fixed point theorem.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{AlaladeKafleWuttkeetal.,
  author    = {Alalade, Muyiwa and Kafle, Binod and Wuttke, Frank and Lahmer, Tom},
  title     = {CALIBRATION OF CYCLIC CONSTITUTIVE MODELS FOR SOILS BY OSCILLATING FUNCTIONS},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2793},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27932},
  pages     = {6},
  abstract  = {In order to minimize the probability of foundation failure resulting from cyclic action on structures, researchers have developed various constitutive models to simulate the foundation response and soil interaction as a result of these complex cyclic loads. The efficiency and effectiveness of these model is majorly influenced by the cyclic constitutive parameters. Although a lot of research is being carried out on these relatively new models, little or no details exist in literature about the model based identification of the cyclic constitutive parameters. This could be attributed to the difficulties and complexities of the inverse modeling of such complex phenomena. A variety of optimization strategies are available for the solution of the sum of least-squares problems as usually done in the field of model calibration. However for the back analysis (calibration) of the soil response to oscillatory load functions, this paper gives insight into the model calibration challenges and also puts forward a method for the inverse modeling of cyclic loaded foundation response such that high quality solutions are obtained with minimum computational effort. Therefore model responses are produced which adequately describes what would otherwise be experienced in the laboratory or field.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{AlaladeNguyenTuanWuttkeetal.,
  author    = {Alalade, Muyiwa and Nguyen-Tuan, Long and Wuttke, Frank and Lahmer, Tom},
  title     = {Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM},
  series = {International Journal of Mechanics and Materials in Design},
  journal   = {International Journal of Mechanics and Materials in Design},
  doi       = {10.25643/bauhaus-universitaet.3596},
  pages     = {1 -- 19},
  abstract  = {Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{AlmamouGebhardtBocketal.,
  author    = {Almamou, Abd Albasset and Gebhardt, Thomas and Bock, Sebastian and Hildebrand, J{\"o}rg and Schwarz, Willfried},
  title     = {QUALITY CONTROL OF CONSTRUCTED MODELS USING 3D POINT CLOUD},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2794},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-27944},
  pages     = {9},
  abstract  = {Over the last decade, the technology of constructing buildings has been dramatically developed especially with the huge growth of CAD tools that help in modeling buildings, bridges, roads and other construction objects. Often quality control and size accuracy in the factory or on construction site are based on manual measurements of discrete points. These measured points of the realized object or a part of it will be compared with the points of the corresponding CAD model to see whether and where the construction element fits into the respective CAD model. This process is very complicated and difficult even when using modern measuring technology. This is due to the complicated shape of the components, the large amount of manually detected measured data and the high cost of manual processing of measured values. However, by using a modern 3D scanner one gets information of the whole constructed object and one can make a complete comparison against the CAD model. It gives an idea about quality of objects on the whole. In this paper, we present a case study of controlling the quality of measurement during the constructing phase of a steel bridge by using 3D point cloud technology. Preliminary results show that an early detection of mismatching between real element and CAD model could save a lot of time, efforts and obviously expenses.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{AmaniBagherzadehRabczuk,
  author    = {Amani, Jafar and Bagherzadeh, Amir Saboor and Rabczuk, Timon},
  title     = {Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method},
  series = {Mathematical Problems in Engineering},
  journal   = {Mathematical Problems in Engineering},
  abstract  = {Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AmiriMillanShenetal.,
  author    = {Amiri, Fatemeh and Mill{\´a}n, D. and Shen, Y. and Rabczuk, Timon and Arroyo, M.},
  title     = {Phase-field modeling of fracture in linear thin shells},
  series = {Theoretical and Applied Fracture Mechanics},
  journal   = {Theoretical and Applied Fracture Mechanics},
  pages     = {102 -- 109},
  abstract  = {Phase-field modeling of fracture in linear thin shells},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AnitescuJiaZhangetal.,
  author    = {Anitescu, Cosmin and Jia, Yue and Zhang, Yongjie and Rabczuk, Timon},
  title     = {An isogeometric collocation method using superconvergent points},
  series = {Computer Methods in Applied Mechanics and Engineer-ing},
  journal   = {Computer Methods in Applied Mechanics and Engineer-ing},
  pages     = {1073 -- 1097},
  abstract  = {An isogeometric collocation method using superconvergent points},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ArashRabczukJiang,
  author    = {Arash, Behrouz and Rabczuk, Timon and Jiang, Jin-Wu},
  title     = {Nanoresonators and their applications: a state of the art review},
  series = {Applied Physics Reviews},
  journal   = {Applied Physics Reviews},
  abstract  = {Nanoresonators and their applications: a state of the art review},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasPintodaCostaRabczuketal.,
  author    = {Areias, Pedro and Pinto da Costa, A. and Rabczuk, Timon and Queiros de Melo, F. J. M. and Dias-da-Costa, D.},
  title     = {An alternative formulation for quasi-static frictional and cohesive contact problems},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  pages     = {807 -- 824},
  abstract  = {An alternative formulation for quasi-static frictional and cohesive contact problems},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczuk,
  author    = {Areias, Pedro and Rabczuk, Timon},
  title     = {Finite strain fracture of plates and shells with configurational forces and edge rotation},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  abstract  = {Finite strain fracture of plates and shells with configurational forces and edge rotation},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukBarbosa,
  author    = {Areias, Pedro and Rabczuk, Timon and Barbosa, J.I.},
  title     = {The extended unsymmetric frontal solution for multiple-point constraints},
  series = {Engineering Computations},
  journal   = {Engineering Computations},
  abstract  = {The extended unsymmetric frontal solution for multiple-point constraints},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukCamanho,
  author    = {Areias, Pedro and Rabczuk, Timon and Camanho, P.P.},
  title     = {Finite strain fracture of 2D problems with injected anisotropic softening elements},
  series = {Theoretical and Applied Fracture Mechanics},
  journal   = {Theoretical and Applied Fracture Mechanics},
  abstract  = {Finite strain fracture of 2D problems with injected anisotropic softening elements},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukCesardeSaetal.,
  author    = {Areias, Pedro and Rabczuk, Timon and Cesar de Sa, J.M. and Garcao, J.E.},
  title     = {Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains},
  series = {Finite Elements in Analysis and Design},
  journal   = {Finite Elements in Analysis and Design},
  pages     = {26 -- 40},
  abstract  = {Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukCesardeSaetal.,
  author    = {Areias, Pedro and Rabczuk, Timon and Cesar de Sa, J.M. and Jorge, R.N.},
  title     = {A semi-implicit _nite strain shell algorithm using in-plane strains based on least-squares},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  abstract  = {A semi-implicit _nite strain shell algorithm using in-plane strains based on least-squares},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukDiasdaCosta,
  author    = {Areias, Pedro and Rabczuk, Timon and Dias-da-Costa, D.},
  title     = {Assumed-metric spherically-interpolated quadrilateral shell element},
  series = {Finite Elements in Analysis and Design},
  journal   = {Finite Elements in Analysis and Design},
  pages     = {53 -- 67},
  abstract  = {Assumed-metric spherically-interpolated quadrilateral shell element},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukDiasdaCosta,
  author    = {Areias, Pedro and Rabczuk, Timon and Dias-da-Costa, D.},
  title     = {Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach},
  series = {CMES: Computer Modeling in Engineering and Sciences},
  journal   = {CMES: Computer Modeling in Engineering and Sciences},
  abstract  = {Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukDiasdaCostaetal.,
  author    = {Areias, Pedro and Rabczuk, Timon and Dias-da-Costa, D. and Piresh, E.B.},
  title     = {Implicit solutions with consistent additive and multiplicative components},
  series = {Finite Elements in Analysis and Design},
  journal   = {Finite Elements in Analysis and Design},
  doi       = {10.1016/j.finel.2012.03.007},
  pages     = {15 -- 31},
  abstract  = {This work describes an algorithm and corresponding software for incorporating general nonlinear multiple-point equality constraints in a implicit sparse direct solver. It is shown that direct addressing of sparse matrices is possible in general circumstances, circumventing the traditional linear or binary search for introducing (generalized) constituents to a sparse matrix. Nested and arbitrarily interconnected multiple-point constraints are introduced by processing of multiplicative constituents with a built-in topological ordering of the resulting directed graph. A classification of discretization methods is performed and some re-classified problems are described and solved under this proposed perspective. The dependence relations between solution methods, algorithms and constituents becomes apparent. Fracture algorithms can be naturally casted in this framework. Solutions based on control equations are also directly incorporated as equality constraints. We show that arbitrary constituents can be used as long as the resulting directed graph is acyclic. It is also shown that graph partitions and orderings should be performed in the innermost part of the algorithm, a fact with some peculiar consequences. The core of our implicit code is described, specifically new algorithms for direct access of sparse matrices (by means of the clique structure) and general constituent processing. It is demonstrated that the graph structure of the second derivatives of the equality constraints are cliques (or pseudo-elements) and are naturally included as such. A complete algorithm is presented which allows a complete automation of equality constraints, avoiding the need of pre-sorting. Verification applications in four distinct areas are shown: single and multiple rigid body dynamics, solution control and computational fracture.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukQueirosdeMeloetal.,
  author    = {Areias, Pedro and Rabczuk, Timon and Queiros de Melo, F. J. M. and Cesar de Sa, J.M.},
  title     = {Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  pages     = {57 -- 72},
  abstract  = {Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BakarKramerBordasetal.,
  author    = {Bakar, I. and Kramer, O. and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon},
  title     = {Optimization of Elastic Properties and Weaving Patterns of Woven Composites},
  series = {Composite Structures},
  journal   = {Composite Structures},
  pages     = {575 -- 591},
  abstract  = {Optimization of Elastic Properties and Weaving Patterns of Woven Composites},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{BargstaedtTarigan,
  author    = {Bargst{\"a}dt, Hans-Joachim and Tarigan, Rina Sari},
  title     = {RULE BASED EXPANSION OF STANDARD CONSTRUCTION PROCESSES},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2822},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28229},
  pages     = {6},
  abstract  = {The paper introduces a systematic construction management approach, supporting expansion of a specified construction process, both automatically and semi-automatically. Throughout the whole design process, many requirements must be taken into account in order to fulfil demands defined by clients. In implementing those demands into a design concept up to the execution plan, constraints such as site conditions, building code, and legal framework are to be considered. However, complete information, which is needed to make a sound decision, is not yet acquired in the early phase. Decisions are traditionally taken based on experience and assumptions. Due to a vast number of appropriate available solutions, particularly in building projects, it is necessary to make those decisions traceable. This is important in order to be able to reconstruct considerations and assumptions taken, should there be any changes in the future project's objectives. The research will be carried out by means of building information modelling, where rules deriving from standard logics of construction management knowledge will be applied. The knowledge comprises a comprehensive interaction amongst bidding process, cost-estimation, construction site preparation as well as specific project logistics - which are usually still separately considered. By means of these rules, favourable decision taking regarding prefabrication and in-situ implementation can be justified. Modifications depending on the available information within current design stage will consistently be traceable.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{BauerDudekRichter,
  author    = {Bauer, Marek and Dudek, Mariusz and Richter, Matthias},
  title     = {RELIABILITY OF TRAM - NETWORK SECTION},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2828},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28281},
  pages     = {16},
  abstract  = {We investigate aspects of tram-network section reliability, which operates as a part of the model of whole city tram-network reliability. Here, one of the main points of interest is the character of the chronological development of the disturbances (namely the differences between time of departure provided in schedule and real time of departure) on subsequent sections during tram line operation. These developments were observed in comprehensive measurements done in Krakow, during one of the main transportation nodes (Rondo Mogilskie) rebuilding. All taken building activities cause big disturbances in tram lines operation with effects extended to neighboring sections. In a second part, the stochastic character of section running time will be analyzed more detailed. There will be taken into consideration sections with only one beginning stop and also with two or three beginning stops located at different streets at an intersection. Possibility of adding results from sections with two beginning stops to one set will be checked with suitable statistical tests which are used to compare the means of the two samples. Section running time may depend on the value of gap between two following trams and from the value of deviation from schedule. This dependence will be described by a multi regression formula. The main measurements were done in the city center of Krakow in two stages: before and after big changes in tramway infrastructure.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{BauerRichterWeiss,
  author    = {Bauer, Marek and Richter, Matthias and Weiß, Hendrik},
  title     = {SIMULATION MODEL OF TRAM ROUTE OPERATION},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2829},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28295},
  pages     = {19},
  abstract  = {From passenger's perspective, punctuality is one of the most important features of tram route operation. We present a stochastic simulation model with special focus on determining important factors of influence. The statistical analysis bases on large samples (sample size is nearly 2000) accumulated from comprehensive measurements on eight tram routes in Cracow. For the simulation, we are not only interested in average values but also in stochastic characteristics like the variance and other properties of the distribution. A realization of trams operations is assumed to be a sequence of running times between successive stops and times spent by tram at the stops divided in passengers alighting and boarding times and times waiting for possibility of departure . The running time depends on the kind of track separation including the priorities in traffic lights, the length of the section and the number of intersections. For every type of section, a linear mixed regression model describes the average running time and its variance as functions of the length of the section and the number of intersections. The regression coefficients are estimated by the iterative re-weighted least square method. Alighting and boarding time mainly depends on type of vehicle, number of passengers alighting and boarding and occupancy of vehicle. For the distribution of the time waiting for possibility of departure suitable distributions like Gamma distribution and Lognormal distribution are fitted.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{BeexKerfridenRabczuketal.,
  author    = {Beex, L.A.A. and Kerfriden, Pierre and Rabczuk, Timon and Bordas, St{\´e}phane Pierre Alain},
  title     = {Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  abstract  = {Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BenZhaoZhangetal.,
  author    = {Ben, S. and Zhao, Jun-Hua and Zhang, Yancheng and Rabczuk, Timon},
  title     = {The interface strength and debonding for composite structures: review and recent developments},
  series = {Composite Structures},
  journal   = {Composite Structures},
  abstract  = {The interface strength and debonding for composite structures: review and recent developments},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{BertholdMilbradt,
  author    = {Berthold, Tim and Milbradt, Peter},
  title     = {ARTIFICIAL NEURONAL NETWORKS IN ENVIRONMENTAL ENGINEERING: THEORY AND APPLICATIONS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2830},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28304},
  pages     = {14},
  abstract  = {Models in the context of engineering can be classified in process based and data based models. Whereas the process based model describes the problem by an explicit formulation, the data based model is often used, where no such mapping can be found due to the high complexity of the problem. Artificial Neuronal Networks (ANN) is a data based model, which is able to "learn" a mapping from a set of training patterns. This paper deals with the application of ANN in time dependent bathymetric models. A bathymetric model is a geometric representation of the sea bed. Typically, a bathymetry is been measured and afterwards described by a finite set of measured data. Measuring at different time steps leads to a time dependent bathymetric model. To obtain a continuous surface, the measured data has to be interpolated by some interpolation method. Unlike the explicitly given interpolation methods, the presented time dependent bathymetric model using an ANN trains the approximated surface in space and time in an implicit way. The ANN is trained by topographic measured data, which consists of the location (x,y) and time t. In other words the ANN is trained to reproduce the mapping h = f(x,y,t) and afterwards it is able to approximate the topographic height for a given location and date. In a further step, this model is extended to take meteorological parameters into account. This leads to a model of more predictive character.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{BombasaroBucher,
  author    = {Bombasaro, Emanuel and Bucher, Christian},
  title     = {INVESTIGATION OF MODELING ERRORS OF DIFFERENT RANDOM FIELD BASED WIND LOAD FORMULATIONS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2831},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28318},
  pages     = {11},
  abstract  = {In this paper the influence of changes in the mean wind velocity, the wind profile power-law coefficient, the drag coefficient of the terrain and the structural stiffness are investigated on different complex structural models. This paper gives a short introduction to wind profile models and to the approach by Davenport A. G. to compute the structural reaction of wind induced vibrations. Firstly with help of a simple example (a skyscraper) this approach is shown. Using this simple example gives the reader the possibility to study the variance differences when changing one of the above mentioned parameters on this very easy example and see the influence of different complex structural models on the result. Furthermore an approach for estimation of the needed discretization level is given. With the help of this knowledge the structural model design methodology can be base on deeper understanding of the different behavior of the single models.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{BrackxDeSchepperLunaElizararrasetal.,
  author    = {Brackx, Fred and De Schepper, Hennie and Luna-Elizararras, Maria Elena and Shapiro, Michael},
  title     = {INTEGRAL REPRESENTATIONS IN HERMITEAN CLIFFORD ANALYSIS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2832},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28326},
  pages     = {13},
  abstract  = {Euclidean Clifford analysis is a higher dimensional function theory offering a refinement of classical harmonic analysis. The theory is centered around the concept of monogenic functions, i.e. null solutions of a first order vector valued rotation invariant differential operator called the Dirac operator, which factorizes the Laplacian. More recently, Hermitean Clifford analysis has emerged as a new and successful branch of Clifford analysis, offering yet a refinement of the Euclidean case; it focusses on the simultaneous null solutions, called Hermitean (or h-) monogenic functions, of two Hermitean Dirac operators which are invariant under the action of the unitary group. In Euclidean Clifford analysis, the Clifford-Cauchy integral formula has proven to be a corner stone of the function theory, as is the case for the traditional Cauchy formula for holomorphic functions in the complex plane. Previously, a Hermitean Clifford-Cauchy integral formula has been established by means of a matrix approach. This formula reduces to the traditional Martinelli-Bochner formula for holomorphic functions of several complex variables when taking functions with values in an appropriate part of complex spinor space. This means that the theory of Hermitean monogenic functions should encompass also other results of several variable complex analysis as special cases. At present we will elaborate further on the obtained results and refine them, considering fundamental solutions, Borel-Pompeiu representations and the Teoderescu inversion, each of them being developed at different levels, including the global level, handling vector variables, vector differential operators and the Clifford geometric product as well as the blade level were variables and differential operators act by means of the dot and wedge products. A rich world of results reveals itself, indeed including well-known formulae from the theory of several complex variables.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{BrehmZabelBucher,
  author    = {Brehm, Maik and Zabel, Volkmar and Bucher, Christian},
  title     = {An automatic mode pairing strategy using an enhanced modal assurance citerion based on modal strain energies},
  series = {Journal of Sound and Vibration},
  journal   = {Journal of Sound and Vibration},
  doi       = {10.1016/j.jsv.2010.07.006},
  pages     = {5375 -- 5392},
  abstract  = {In the context of finite element model updating using output-only vibration test data, natural frequencies and mode shapes are used as validation criteria. Consequently, the correct pairing of experimentally obtained and numerically derived natural frequencies and mode shapes is important. In many cases, only limited spatial information is available and noise is present in the measurements. Therefore, the automatic selection of the most likely numerical mode shape corresponding to a particular experimentally identified mode shape can be a difficult task. The most common criterion for indicating corresponding mode shapes is the modal assurance criterion. Unfortunately, this criterion fails in certain cases and is not reliable for automatic approaches. In this paper, the purely mathematical modal assurance criterion will be enhanced by additional physical information from the numerical model in terms of modal strain energies. A numerical example and a benchmark study with experimental data are presented to show the advantages of the proposed energy-based criterion in comparison to the traditional modal assurance criterion.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BrehmZabelBucher,
  author    = {Brehm, Maik and Zabel, Volkmar and Bucher, Christian},
  title     = {Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study},
  series = {Mechanical Systems and Signal Processing},
  journal   = {Mechanical Systems and Signal Processing},
  abstract  = {Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{BrehmZabelBucheretal.,
  author    = {Brehm, Maik and Zabel, Volkmar and Bucher, Christian and Ribeiro, D.},
  title     = {AN AUTOMATIC MODE SELECTION STRATEGY FOR MODEL UPDATING USING THE MODAL ASSURANCE CRITERION AND MODAL STRAIN ENERGIES},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2833},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28330},
  pages     = {18},
  abstract  = {In the context of finite element model updating using vibration test data, natural frequencies and mode shapes are used as validation criteria. Consequently, the order of natural frequencies and mode shapes is important. As only limited spatial information is available and noise is present in the measurements, the automatic selection of the most likely numerical mode shape corresponding to a measured mode shape is a difficult task. The most common criterion to indicate corresponding mode shapes is the modal assurance criterion. Unfortunately, this criterion fails in certain cases. In this paper, the pure mathematical modal assurance criterion will be enhanced by additional physical information of the numerical model in terms of modal strain energies. A numerical example and a benchmark study with real measured data are presented to show the advantages of the enhanced energy based criterion in comparison to the traditional modal assurance criterion.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{BruhinStockDrueckeretal.,
  author    = {Bruhin, R. and Stock, U.A. and Dr{\"u}cker, J.-P. and Azhari, T. and Wippermann, J. and Albes, J.M. and Hintze, D. and Eckardt, Stefan and K{\"o}nke, Carsten and Wahlers, T.},
  title     = {Numerical simulation techniques to study the structural response of the human chest following median sternotomy},
  series = {The Annals of Thoracic Surgery},
  journal   = {The Annals of Thoracic Surgery},
  pages     = {623 -- 630},
  abstract  = {Numerical simulation techniques to study the structural response of the human chest following median sternotomy},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BucherEbert,
  author    = {Bucher, Christian and Ebert, Matthias},
  title     = {Nichtlineare Berechnung von Stahlflanschverbindungen mit gemessenen Imperfektionen},
  series = {Stahlbau},
  journal   = {Stahlbau},
  pages     = {516 -- 522},
  abstract  = {Nichtlineare Berechnung von Stahlflanschverbindungen mit gemessenen Imperfektionen},
  subject      = {Angewandte Mathematik},
  language  = {de}
}
@article{BucherFrangopol,
  author    = {Bucher, Christian and Frangopol, D.M.},
  title     = {Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds},
  series = {Probabilistic Engineering Mechanics},
  journal   = {Probabilistic Engineering Mechanics},
  pages     = {1 -- 8},
  abstract  = {Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BucherMost,
  author    = {Bucher, Christian and Most, Thomas},
  title     = {A comparison of approximate response functions in structural reliability analysis},
  series = {Probabilistic Engineering Mechanics},
  journal   = {Probabilistic Engineering Mechanics},
  pages     = {154 -- 163},
  abstract  = {A comparison of approximate response functions in structural reliability analysis},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BucherPham,
  author    = {Bucher, Christian and Pham, Hoang Anh},
  title     = {On model updating of existing structures utilizing measured dynamic responses},
  series = {Structure and Infrastructure Engineering},
  journal   = {Structure and Infrastructure Engineering},
  pages     = {135 -- 143},
  abstract  = {On model updating of existing structures utilizing measured dynamic responses},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BudarapuGracieBordasetal.,
  author    = {Budarapu, Pattabhi Ramaiah and Gracie, Robert and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon},
  title     = {An adaptive multiscale method for quasi-static crack growth},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  doi       = {10.1007/s00466-013-0952-6},
  pages     = {1129 -- 1148},
  abstract  = {This paper proposes an adaptive atomistic- continuum numerical method for quasi-static crack growth. The phantom node method is used to model the crack in the continuum region and a molecular statics model is used near the crack tip. To ensure self-consistency in the bulk, a virtual atom cluster is used to model the material of the coarse scale. The coupling between the coarse scale and fine scale is realized through ghost atoms. The ghost atom positions are interpolated from the coarse scale solution and enforced as boundary conditions on the fine scale. The fine scale region is adaptively enlarged as the crack propagates and the region behind the crack tip is adaptively coarsened. An energy criterion is used to detect the crack tip location. The triangular lattice in the fine scale region corresponds to the lattice structure of the (111) plane of an FCC crystal. The Lennard-Jones potential is used to model the atom-atom interactions. The method is implemented in two dimensions. The results are compared to pure atomistic simulations; they show excellent agreement.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BudarapuGracieYangetal.,
  author    = {Budarapu, Pattabhi Ramaiah and Gracie, Robert and Yang, Shih-Wei and Zhuang, Xiaoying and Rabczuk, Timon},
  title     = {Efficient Coarse Graining in Multiscale Modeling of Fracture},
  series = {Theoretical and Applied Fracture Mechanics},
  journal   = {Theoretical and Applied Fracture Mechanics},
  pages     = {126 -- 143},
  abstract  = {Efficient Coarse Graining in Multiscale Modeling of Fracture},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{BudarapuNarayanaRammohanetal.,
  author    = {Budarapu, Pattabhi Ramaiah and Narayana, T.S.S. and Rammohan, B. and Rabczuk, Timon},
  title     = {Directionality of sound radiation from rectangular panels},
  series = {Applied Acoustics},
  journal   = {Applied Acoustics},
  pages     = {128 -- 140},
  abstract  = {Directionality of sound radiation from rectangular panels},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@inproceedings{CacaoConstalesKrausshar,
  author    = {Cacao, Isabel and Constales, Denis and Kraußhar, Rolf S{\"o}ren},
  title     = {A UNIFIED APPROACH FOR THE TREATMENT OF SOME HIGHER DIMENSIONAL DIRAC TYPE EQUATIONS ON SPHERES},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2834},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28343},
  pages     = {8},
  abstract  = {Using Clifford analysis methods, we provide a unified approach to obtain explicit solutions of some partial differential equations combining the n-dimensional Dirac and Euler operators, including generalizations of the classical time-harmonic Maxwell equations. The obtained regular solutions show strong connections between hypergeometric functions and homogeneous polynomials in the kernel of the Dirac operator.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{CastilloPerez,
  author    = {Castillo-P{\´e}rez, Ra{\´u}l},
  title     = {AN APPLICATION OF FORMAL POWER SERIES FOR THE DEVELOPMENT OF OPTICAL FILTERS},
  editor    = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2835},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170314-28354},
  pages     = {8},
  abstract  = {The application of a recent method using formal power series is proposed. It is based on a new representation for solutions of Sturm-Liouville equations. This method is used to calculate the transmittance and reflectance coefficients of finite inhomogeneous layers with high accuracy and efficiency. Tailoring the refraction index profile defining the inhomogeneous media it is possible to develop very important applications such as optical filters. A number of profiles were evaluated and then some of them selected in order to perform an improvement of their characteristics via the modification of their profiles.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@inproceedings{CastilloPerezCedilloDiazKravchenkoetal.,
  author    = {Castillo-P{\´e}rez, Ra{\´u}l and Cedillo - D{\´i}az, A. del C. and Kravchenko, Vladislav and Oviedo - Galdeano, H.},
  title     = {COMPUTATION OF THE REFLECTANCE AND TRANSMITTANCE FOR AN INHOMOGENEOUS LAYERED MEDIUM WITH TURNING POINT S USING THE WKB AND SPPS METHODS},
  series = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  booktitle = {Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar},
  editor    = {G{\"u}rlebeck, Klaus and Lahmer, Tom and Werner, Frank},
  organization    = {Bauhaus-Universit{\"a}t Weimar},
  issn      = {1611-4086},
  doi       = {10.25643/bauhaus-universitaet.2759},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170306-27598},
  pages     = {16},
  abstract  = {Electromagnetic wave propagation is currently present in the vast majority of situations which occur in veryday life, whether in mobile communications, DTV, satellite tracking, broadcasting, etc. Because of this the study of increasingly complex means of propagation of lectromagnetic waves has become necessary in order to optimize resources and increase the capabilities of the devices as required by the growing demand for such services. Within the electromagnetic wave propagation different parameters are considered that characterize it under various circumstances and of particular importance are the reflectance and transmittance. There are several methods or the analysis of the reflectance and transmittance such as the method of approximation by boundary condition, the plane wave expansion method (PWE), etc., but this work focuses on the WKB and SPPS methods. The implementation of the WKB method is relatively simple but is found to be relatively efficient only when working at high frequencies. The SPPS method (Spectral Parameter Powers Series) based on the theory of pseudoanalytic functions, is used to solve this problem through a new representation for solutions of Sturm Liouville equations and has recently proven to be a powerful tool to solve different boundary value and eigenvalue problems. Moreover, it has a very suitable structure for numerical implementation, which in this case took place in the Matlab software for the valuation of both conventional and turning points profiles. The comparison between the two methods allows us to obtain valuable information about their perfor mance which is useful for determining the validity and propriety of their application for solving problems where these parameters are calculated in real life applications.},
  subject      = {Angewandte Informatik},
  language  = {en}
}
@article{ChauDinhZiLeeetal.,
  author    = {Chau-Dinh, T. and Zi, Goangseup and Lee, P.S. and Song, Jeong-Hoon and Rabczuk, Timon},
  title     = {Phantom-node method for shell models with arbitrary cracks},
  series = {Computers \& Structures},
  journal   = {Computers \& Structures},
  doi       = {10.1016/j.compstruc.2011.10.021},
  abstract  = {A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ChenNguyenThanhNguyenXuanetal.,
  author    = {Chen, Lei and Nguyen-Thanh, Nhon and Nguyen-Xuan, Hung and Rabczuk, Timon and Bordas, St{\´e}phane Pierre Alain and Limbert, Georges},
  title     = {Explicit finite deformation analysis of isogeometric membranes},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {104 -- 130},
  abstract  = {Explicit finite deformation analysis of isogeometric membranes},
  subject      = {Angewandte Mathematik},
  language  = {en}
}