Local Discontinuous Galerkin Methods for the Khokhlov–Zabolotskaya–Kuznetzov Equation
Journal of Scientific Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ching-Shan Chou +3 more
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hp-discontinuous Galerkin method based on local higher order reconstruction
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vít Dolejší, Pavel Solin
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Local discontinuous Galerkin methods for the Cahn–Hilliard type equations
Journal of Computational Physics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2004This 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 +2 more
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Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation
Journal of Scientific Computing, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Ruihan, Xu, Yan, Xu, Zhengfu
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Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System
Journal of Scientific Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buli, Joshua, Xing, Yulong
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A Local Discontinuous Galerkin Method for the Camassa–Holm Equation
SIAM Journal on Numerical Analysis, 2008A 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, 2012In 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, 2012Summary: 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, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia, Yinhua, Xu, Yan, Shu, Chi-Wang
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