Dokument-ID Dokumenttyp Verfasser/Autoren Herausgeber Haupttitel Abstract Auflage Verlagsort Verlag Erscheinungsjahr Seitenzahl Schriftenreihe Titel Schriftenreihe Bandzahl ISBN Quelle der Hochschulschrift Konferenzname Quelle:Titel Quelle:Jahrgang Quelle:Heftnummer Quelle:Erste Seite Quelle:Letzte Seite URN DOI Abteilungen
OPUS4-3569 Wissenschaftlicher Artikel Lahmer, Tom; Bock, Sebastian; Hildebrand, Jörg; Gürlebeck, Klaus Non-destructive identification of residual stresses in steel under thermal loadings Non-destructive identification of residual stresses in steel under thermal loadings 16 Inverse Problems in Science and Engineering 1 17 Institut für Strukturmechanik
OPUS4-2773 Konferenzveröffentlichung Legatiuk, Dmitrii; Bock, Sebastian; Gürlebeck, Klaus Gürlebeck, Klaus; Lahmer, Tom; Werner, Frank THE PROBLEM OF COUPLING BETWEEN ANALYTICAL SOLUTION AND FINITE ELEMENT METHOD This paper is focused on the first numerical tests for coupling between analytical solution and finite element method on the example of one problem of fracture mechanics. The calculations were done according to ideas proposed in [1]. The analytical solutions are constructed by using an orthogonal basis of holomorphic and anti-holomorphic functions. For coupling with finite element method the special elements are constructed by using the trigonometric interpolation theorem. 11 Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 04 - 06 2012, Bauhaus-University Weimar urn:nbn:de:gbv:wim2-20170314-27730 10.25643/bauhaus-universitaet.2773 Graduiertenkolleg 1462
OPUS4-2928 Konferenzveröffentlichung Bock, Sebastian; Gürlebeck, Klaus Gürlebeck, Klaus; Könke, Carsten A Coupled Ritz-Galerkin Approach Using Holomorphic and Anti-holomorphic Functions The contribution focuses on the development of a basic computational scheme that provides a suitable calculation environment for the coupling of analytical near-field solutions with numerical standard procedures in the far-field of the singularity. The proposed calculation scheme uses classical methods of complex function theory, which can be generalized to 3-dimensional problems by using the framework of hypercomplex analysis. The adapted approach is mainly based on the factorization of the Laplace operator EMBED Equation.3 by the Cauchy-Riemann operator EMBED Equation.3 , where exact solutions of the respective differential equation are constructed by using an orthonormal basis of holomorphic and anti-holomorphic functions. 14 urn:nbn:de:gbv:wim2-20170327-29281 10.25643/bauhaus-universitaet.2928 Institut für Mathematik-Bauphysik
OPUS4-299 Konferenzveröffentlichung Gürlebeck, Klaus; Bock, Sebastian; Falcao, M. Irene Applications of Bergman kernel functions In this paper we revisit the so-called Bergman kernel method (BKM) for solving conformal mapping problems. This method is based on the reproducing property of the Bergman kernel function. The main drawback of this well known technique is that it involves an orthonormalization process and thus is numerically unstable. This difficulty can be, in some cases, overcome by using the Maple system, which makes no use of numeric quadrature. We illustrate this implementation by presenting a numerical example. The construction of reproducing kernel functions is not restricted to real dimension 2. Results concerning the construction of Bergman kernel functions in closed form for special domains in the framework of hypercomplex function theory suggest that BKM can also be extended to mapping problems in higher dimensions, particularly 3-dimensional cases. We describe such a generalized BKM-approach and present numerical examples obtained by the use of specially developed software packages for quaternions. 2003 urn:nbn:de:gbv:wim2-20111215-2994 10.25643/bauhaus-universitaet.299 Professur Informatik im Bauwesen