[图书][B] Mathematical aspects of discontinuous Galerkin methods
DA Di Pietro, A Ern - 2011 - books.google.com
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …
same time, incorporates several recent mathematical developments. The presentation is to a …
[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 …
hp-version discontinuous Galerkin methods on polygonal and polyhedral meshes
A Cangiani, EH Georgoulis… - Mathematical Models and …, 2014 - World Scientific
An hp-version interior penalty discontinuous Galerkin method (DGFEM) for the numerical
solution of second-order elliptic partial differential equations on general computational …
solution of second-order elliptic partial differential equations on general computational …
A posteriori error control for DPG methods
A combination of ideas in least-squares finite element methods with those of hybridized
methods recently led to discontinuous Petrov--Galerkin (DPG) finite element methods. They …
methods recently led to discontinuous Petrov--Galerkin (DPG) finite element methods. They …
A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation
This paper presents an arbitrary order locking-free numerical scheme for linear elasticity on
general polygonal/polyhedral partitions by using weak Galerkin (WG) finite element …
general polygonal/polyhedral partitions by using weak Galerkin (WG) finite element …
Flexible simulation of deformable models using discontinuous Galerkin FEM
We propose a simulation technique for elastically deformable objects based on the
discontinuous Galerkin finite element method (DG FEM). In contrast to traditional FEM, it …
discontinuous Galerkin finite element method (DG FEM). In contrast to traditional FEM, it …
Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
It is important to develop fast yet accurate numerical methods for seismic wave propagation
to characterize complex geological structures and oil and gas reservoirs. However, the …
to characterize complex geological structures and oil and gas reservoirs. However, the …
[HTML][HTML] The generalized finite difference method for the inverse Cauchy problem in two-dimensional isotropic linear elasticity
In this study, the generalized finite difference method (GFDM) was used to stably and
accurately solve two-dimensional (2D) inverse Cauchy problems in linear elasticity by using …
accurately solve two-dimensional (2D) inverse Cauchy problems in linear elasticity by using …
A phase-field model for fractures in nearly incompressible solids
Within this work, we develop a phase-field description for simulating fractures in nearly
incompressible materials. It is well-known that low-order approximations generally lead to …
incompressible materials. It is well-known that low-order approximations generally lead to …
A locking-free immersed finite element method for planar elasticity interface problems
This article proposes a nonconforming immersed finite element (IFE) method for solving
planar elasticity interface problems with structured (or Cartesian) meshes even if the …
planar elasticity interface problems with structured (or Cartesian) meshes even if the …