Non-conforming high order approximations of the elastodynamics equation
In this paper we formulate and analyze two non-conforming high order strategies for the
approximation of elastic wave problems in heterogeneous media, namely the Mortar …
approximation of elastic wave problems in heterogeneous media, namely the Mortar …
[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 …
[图书][B] The gradient discretisation method
This monograph is dedicated to the presentation of The Gradient Discretisation Method
(GDM) and to some of its applications. It is intended for masters students, researchers and …
(GDM) and to some of its applications. It is intended for masters students, researchers and …
Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations
Unstructured grid ocean models are advantageous for simulating the coastal ocean and
river–estuary–plume systems. However, unstructured grid models tend to be diffusive and/or …
river–estuary–plume systems. However, unstructured grid models tend to be diffusive and/or …
A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers
M Kronbichler, WA Wall - SIAM Journal on Scientific Computing, 2018 - SIAM
This study presents a fair performance comparison of the continuous finite element method,
the symmetric interior penalty discontinuous Galerkin method, and the hybridized …
the symmetric interior penalty discontinuous Galerkin method, and the hybridized …
A computational study of the weak Galerkin method for second-order elliptic equations
The weak Galerkin finite element method is a novel numerical method that was first
proposed and analyzed by Wang and Ye (2011) for general second order elliptic problems …
proposed and analyzed by Wang and Ye (2011) for general second order elliptic problems …
[图书][B] Development of the discontinuous Galerkin method for high-resolution, large scale CFD and acoustics in industrial geometries
K Hillewaert - 2013 - books.google.com
New unstructured high order methods hold the promise of transforming industrial? CFD
practices. Their combination of high precision, high geometrical flexibility? and parallel …
practices. Their combination of high precision, high geometrical flexibility? and parallel …
A high order discontinuous Galerkin finite element solver for the incompressible Navier–Stokes equations
E Ferrer, RHJ Willden - Computers & Fluids, 2011 - Elsevier
The paper presents an unsteady high order Discontinuous Galerkin (DG) solver that has
been developed, verified and validated for the solution of the two-dimensional …
been developed, verified and validated for the solution of the two-dimensional …
[PDF][PDF] The direct discontinuous Galerkin (DDG) method for diffusion with interface corrections
Based on a novel numerical flux involving jumps of even order derivatives of the numerical
solution, a direct discontinuous Galerkin (DDG) method for diffusion problems was …
solution, a direct discontinuous Galerkin (DDG) method for diffusion problems was …
On the solution of the coupled Navier–Stokes and Darcy equations
P Chidyagwai, B Rivière - Computer Methods in Applied Mechanics and …, 2009 - Elsevier
This paper introduces and analyzes two mathematical models for coupling the
incompressible Navier–Stokes equations with the porous media flow equations. A numerical …
incompressible Navier–Stokes equations with the porous media flow equations. A numerical …