Results 161 to 170 of about 19,690 (191)

Local discontinuous Galerkin methods for the Cahn–Hilliard type equations

Journal of Computational Physics, 2007
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Xia, Yinhua, Xu, Y., Shu, Chi-Wang
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Locally divergence-free discontinuous Galerkin methods for the Maxwell equations

Journal of Computational Physics, 2004
This paper is devoted to the study of the role of discontinuous Galerkin methods in the numerical analysis of the two-dimensional Maxwell system \[ \frac{\partial H_x}{\partial t}=-\frac{\partial E_z}{\partial y},\quad \frac{\partial H_y}{\partial t}=\frac{\partial E_z}{\partial x},\quad \frac{\partial E_z}{\partial t}=\frac{\partial H_y}{\partial x ...
Cockburn, Bernardo, Li, Fengyan, Shu, Chi-Wang   +2 more
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Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation

Journal of Scientific Computing, 2014
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Guo, Ruihan, Xu, Yan, Xu, Zhengfu
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Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System

Journal of Scientific Computing, 2017
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Buli, Joshua, Xing, Yulong
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A Local Discontinuous Galerkin Method for the Camassa–Holm Equation

SIAM Journal on Numerical Analysis, 2008
A local discontinuous Galerkin (LDG) method is developed for solving the Camassa-Holm (CH) equation which contains nonlinear high-order derivatives. The CH equation is split into a series of linear ordinary differential equations on which the LDG method is developed.
Xu, Yan, Shu, Chi-Wang
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Local multilevel methods for adaptive discontinuous Galerkin finite element methods

SCIENTIA SINICA Mathematica, 2012
In this paper, the local multilevel methods for discontinuous Galerkin finite element on adaptively refined meshes are considered. By the abstract Schwarz theory, we analyze the convergence rate of the proposed algorithms for smooth and highly discontinuous coefficients separately.
ZhongCi SHI, XueJun XU, PeiPei LU
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Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

Journal of Computational Mathematics, 2012
Summary: We study the local discontinuous Galerkin method for one-dimensional singularly perturbed convection-diffusion problems by an exponentially fitted technique. We prove that the method is uniformly first-order convergent in the energy norm with respect to the small diffusion parameter.
Yu, Tao, Yue, Xingye
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Local discontinuous Galerkin methods for the generalized Zakharov system

Journal of Computational Physics, 2010
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Xia, Yinhua, Xu, Yan, Shu, Chi-Wang
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Local derivative post-processing for the discontinuous Galerkin method

Journal of Computational Physics, 2009
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Ryan, Jennifer K., Cockburn, Bernardo
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Locally Implicit Discontinuous Galerkin Methods for Time-Domain Maxwell’s Equations

2012
An attractive feature of discontinuous Galerkin (DG) spatial discretization is the possibility of using locally refined space grids to handle geometrical details. However, when combined with an explicit integration method to numerically solve a time-dependent partial differential equation, this readily leads to unduly large step size restrictions ...
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