TY  - JOUR
A1  - Amani, Jafar
A1  - Bagherzadeh, Amir Saboor
A1  - Rabczuk, Timon
T1  - Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method
JF  - Mathematical Problems in Engineering
N2  - Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Amani, Jafar
A1  - Saboor Bagherzadeh, Amir
A1  - Rabczuk, Timon
T1  - Error estimate and adaptive refinement in mixed discrete least squares meshless method
JF  - Mathematical Problems in Engineering
N2  - The node moving and multistage node enrichment adaptive refinement procedures are extended in mixed discrete least squares meshless (MDLSM) method for efficient analysis of elasticity problems. In the formulation of MDLSM method, mixed formulation is accepted to avoid second-order differentiation of shape functions and to obtain displacements and stresses simultaneously. In the refinement procedures, a robust error estimator based on the value of the least square residuals functional of the governing differential equations and its boundaries at nodal points is used which is inherently available from the MDLSM formulation and can efficiently identify the zones with higher numerical errors. The results are compared with the refinement procedures in the irreducible formulation of discrete least squares meshless (DLSM) method and show the accuracy and efficiency of the proposed procedures. Also, the comparison of the error norms and convergence rate show the fidelity of the proposed adaptive refinement procedures in the MDLSM method.
KW  - Elastizität
KW  - Fehlerabschätzung
KW  - MDLSM method
Y1  - 2014
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170413-31181
ER  - 
TY  - JOUR
A1  - Amiri, Fatemeh
A1  - Millán, D.
A1  - Shen, Y.
A1  - Rabczuk, Timon
A1  - Arroyo, M.
T1  - Phase-field modeling of fracture in linear thin shells
JF  - Theoretical and Applied Fracture Mechanics
N2  - Phase-field modeling of fracture in linear thin shells
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 102
EP  - 109
ER  - 
TY  - JOUR
A1  - Anitescu, Cosmin
A1  - Jia, Yue
A1  - Zhang, Yongjie
A1  - Rabczuk, Timon
T1  - An isogeometric collocation method using superconvergent points
JF  - Computer Methods in Applied Mechanics and Engineer-ing
N2  - An isogeometric collocation method using superconvergent points
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 1073
EP  - 1097
ER  - 
TY  - JOUR
A1  - Arash, Behrouz
A1  - Rabczuk, Timon
A1  - Jiang, Jin-Wu
T1  - Nanoresonators and their applications: a state of the art review
JF  - Applied Physics Reviews
N2  - Nanoresonators and their applications: a state of the art review
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Pinto da Costa, A.
A1  - Rabczuk, Timon
A1  - Queiros de Melo, F. J. M.
A1  - Dias-da-Costa, D.
T1  - An alternative formulation for quasi-static frictional and cohesive contact problems
JF  - Computational Mechanics
N2  - An alternative formulation for quasi-static frictional and cohesive contact problems
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 807
EP  - 824
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
T1  - Finite strain fracture of plates and shells with configurational forces and edge rotation
JF  - International Journal for Numerical Methods in Engineering
N2  - Finite strain fracture of plates and shells with configurational forces and edge rotation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Barbosa, J.I.
T1  - The extended unsymmetric frontal solution for multiple-point constraints
JF  - Engineering Computations
N2  - The extended unsymmetric frontal solution for multiple-point constraints
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Camanho, P.P.
T1  - Finite strain fracture of 2D problems with injected anisotropic softening elements
JF  - Theoretical and Applied Fracture Mechanics
N2  - Finite strain fracture of 2D problems with injected anisotropic softening elements
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Cesar de Sa, J.M.
A1  - Garcao, J.E.
T1  - Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains
JF  - Finite Elements in Analysis and Design
N2  - Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 26
EP  - 40
ER  -