[图书][B] Finite elements II
A Ern, JL Guermond - 2021 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …
impact of computer technology, the growing importance of computer modelling and the …
[图书][B] Discontinuous Galerkin methods for solving elliptic and parabolic equations: theory and implementation
B Rivière - 2008 - SIAM
This book is an introduction to a family of discontinuous Galerkin (DG) methods applied to
some steady-state and time-dependent model problems. A special effort was made to have …
some steady-state and time-dependent model problems. A special effort was made to have …
Discontinuous Galerkin methods for non‐linear elasticity
A Ten Eyck, A Lew - International Journal for Numerical …, 2006 - Wiley Online Library
This paper presents the formulation and a partial analysis of a class of discontinuous
Galerkin methods for quasistatic non‐linear elasticity problems. These methods are …
Galerkin methods for quasistatic non‐linear elasticity problems. These methods are …
Locking-free enriched Galerkin method for linear elasticity
We propose a new locking-free enriched Galerkin method for solving the linear elasticity
problem. The method is based on the discontinuous Galerkin formulation, but its …
problem. The method is based on the discontinuous Galerkin formulation, but its …
Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems
T Wihler - Mathematics of computation, 2006 - ams.org
An adaptive discontinuous Galerkin finite element method for linear elasticity problems is
presented. We develop an a posteriori error estimate and prove its robustness with respect …
presented. We develop an a posteriori error estimate and prove its robustness with respect …
A virtual element method for isotropic hyperelasticity
D van Huyssteen, BD Reddy - Computer Methods in Applied Mechanics …, 2020 - Elsevier
This work considers the application of a displacement-based virtual element method to
plane hyperelasticity problems with a novel approach to the selection of stabilization …
plane hyperelasticity problems with a novel approach to the selection of stabilization …
A superconvergent hybridisable discontinuous Galerkin method for linear elasticity
The first superconvergent hybridisable discontinuous Galerkin method for linear elastic
problems capable of using the same degree of approximation for both the primal and mixed …
problems capable of using the same degree of approximation for both the primal and mixed …
A virtual element method for transversely isotropic elasticity
BD Reddy, D van Huyssteen - Computational Mechanics, 2019 - Springer
This work studies the approximation of plane problems concerning transversely isotropic
elasticity, using a low-order virtual element method (VEM), with a focus on near …
elasticity, using a low-order virtual element method (VEM), with a focus on near …
A modified weak Galerkin finite element method for the linear elasticity problem in mixed form
X Wang, X Meng, S Zhang, H Zhou - Journal of Computational and Applied …, 2023 - Elsevier
In this paper, we present and analyze the modified weak Galerkin (MWG) finite element
method to the linear elasticity problem in a mixed form. Comparing with weak Galerkin (WG) …
method to the linear elasticity problem in a mixed form. Comparing with weak Galerkin (WG) …
An hp-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity
We develop the a posteriori error estimation of mixed hp-version discontinuous Galerkin
finite element methods for nearly incompressible elasticity problems in two space …
finite element methods for nearly incompressible elasticity problems in two space …