A Superconvergent Local Discontinuous Galerkin Method for Elliptic Problems
Journal of Scientific Computing, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Slimane Adjerid, Mahboub Baccouch
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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.
Yinhua Xia, Yan Xu 0008, Chi-Wang Shu
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Local derivative post-processing for the discontinuous Galerkin method
Journal of Computational Physics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jennifer K. Ryan, Bernardo Cockburn
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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
Qi Tao +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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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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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 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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