Local discontinuous Galerkin methods for the Cahn–Hilliard type equations
Journal of Computational Physics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yinhua Xia, Yan Xu 0008, Chi-Wang Shu
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Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations
Journal of Scientific Computing, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fengyan Li, Chi-Wang Shu
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An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method
Journal of Scientific Computing, 2005The author consider a local discontinuous Galerkin method applied to an elliptic problem with Dirichlet boundary conditions. The discontinuous discretization is applied to the usual mixed variational formulation that uses fluxes beside the original functions and rather general finite elements are included by using just its local approximation ...
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An hp-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems
Journal of Scientific Computing, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ilaria Perugia, Dominik Schötzau
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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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A Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations
Acta Mathematica Scientia, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zeng, Zhankuan, Chen, Yanping
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On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods
Journal of Scientific Computing, 2001The authors analyze the finite element formulation resulting from coupling the local discontinuous Galerkin method with a standard conforming finite element method for elliptic problems. They prove optimal a priori error estimates for arbitrary meshes with possible hanging nodes, and give some numerical experiments to validate the theoretical results.
Ilaria Perugia, Dominik Schötzau
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Numerical solution of the Burgers’ equation by local discontinuous Galerkin method
Applied Mathematics and Computation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guozhong Zhao, Xijun Yu, Di Wu
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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.
Joshua Buli, Yulong Xing
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Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations
Journal of Scientific Computing, 2021The authors design numerical methods for dispersive systems consisting of two Korteweg-de Vries like equations coupled through polynomial (quadratic) terms. These are local discontinuous Galerkin methods and a choice of convenient numerical fluxes is important in this approach.
Chao Zhang, Yan Xu 0008, Yinhua Xia
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