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The Local Discontinuous Galerkin Method for Contaminant Transport Problems
2000We discuss the application of the Local Discontinuous Galerkin method to the approximation of contaminant transport in porous media.
Clint Dawson +2 more
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A local discontinuous Galerkin method for the Novikov equation
Mathematics of ComputationIn this paper, we propose a local discontinuous Galerkin (LDG) method for the Novikov equation that contains cubic nonlinear high-order derivatives. Flux correction techniques are used to ensure the stability of the numerical scheme. The H 1 H^1 -norm stability of the general solution and the error estimate for smooth
Tao, Qi +3 more
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Algebraic Multigrid for Discontinuous Galerkin Methods Using Local Transformations
2016In this paper we present an algebraic multigrid for discontinuous Galerkin methods. Coarser grid levels are created by applying a semi-coarsening approach based on an edge-coloring of the matrix-graph. The grid-transfer uses local basis transformations between the polynomial bases of neighboring elements.
Christian Engwer +2 more
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Local discontinuous Galerkin methods for the carpet cloak model
Annals of Mathematical Sciences and Applications, 2022Xinyue Yu, Jichun Li, Chi-Wang Shu
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The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
SIAM Journal on Numerical Analysis, 1998Bernardo Cockburn, Chi-Wang Shu
exaly
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis, 2002Douglas N Arnold +2 more
exaly
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations
Physica D: Nonlinear Phenomena, 2005Yan Xu, Chi-Wang Shu
exaly