[图书][B] Nodal discontinuous Galerkin methods: algorithms, analysis, and applications
JS Hesthaven, T Warburton - 2007 - books.google.com
Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …
A weak Galerkin finite element method for the Maxwell equations
This paper introduces a numerical scheme for the time-harmonic Maxwell equations by
using weak Galerkin (WG) finite element methods. The WG finite element method is based …
using weak Galerkin (WG) finite element methods. The WG finite element method is based …
[图书][B] Computational partial differential equations using MATLAB®
In this popular text for an Numerical Analysis course, the authors introduce several major
methods of solving various partial differential equations (PDEs) including elliptic, parabolic …
methods of solving various partial differential equations (PDEs) including elliptic, parabolic …
A discontinuous Galerkin surface integral equation method for electromagnetic wave scattering from nonpenetrable targets
We present a discontinuous Galerkin surface integral equation method, herein referred to as
IEDG, for time harmonic electromagnetic wave scattering from nonpenetrable targets. The …
IEDG, for time harmonic electromagnetic wave scattering from nonpenetrable targets. The …
Interior penalty method for the indefinite time-harmonic Maxwell equations
In this paper, we introduce and analyze the interior penalty discontinuous Galerkin method
for the numerical discretization of the indefinite time-harmonic Maxwell equations in the high …
for the numerical discretization of the indefinite time-harmonic Maxwell equations in the high …
ENERGY NORM A POSTERIORI ERROR ESTIMATION OF hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC PROBLEMS
In this paper, we develop the a posteriori error estimation of hp-version interior penalty
discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable …
discontinuous Galerkin discretizations of elliptic boundary-value problems. Computable …
A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time domain
G Cohen, X Ferrieres, S Pernet - Journal of Computational Physics, 2006 - Elsevier
In this paper, we present a non-dissipative spatial high-order discontinuous Galerkin method
to solve the Maxwell equations in the time domain. The non-intuitive choice of the space of …
to solve the Maxwell equations in the time domain. The non-intuitive choice of the space of …
[HTML][HTML] Interior penalty discontinuous Galerkin method for Maxwell's equations: Energy norm error estimates
MJ Grote, A Schneebeli, D Schötzau - Journal of Computational and …, 2007 - Elsevier
We develop the symmetric interior penalty discontinuous Galerkin (DG) method for the time-
dependent Maxwell equations in second-order form. We derive optimal a priori error …
dependent Maxwell equations in second-order form. We derive optimal a priori error …
Certified reduced basis methods and output bounds for the harmonic Maxwell's equations
We propose certified reduced basis methods for the efficient and reliable evaluation of a
general output that is implicitly connected to a given parameterized input through the …
general output that is implicitly connected to a given parameterized input through the …
A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh
A virtual element method (VEM) with the first-order optimal convergence order is developed
for solving two-dimensional Maxwell interface problems on a special class of polygonal …
for solving two-dimensional Maxwell interface problems on a special class of polygonal …