The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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) …

We develop the a posteriori error estimation of mixed hp-version discontinuous Galerkin
finite element methods for nearly incompressible elasticity problems in two space …