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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Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation
Journal of Scientific Computing, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruihan Guo, Yan Xu 0008, Zhengfu Xu
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Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model
Journal of Scientific Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xingjie Helen Li 0001 +2 more
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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 Method with Reduced Stabilization for Diffusion Equations
Communications in Computational Physics, 2009We extend the results on minimal stabilization of Burman and Stamm [J. Sci. Comp., 33 (2007), pp.~183-208] to the case of the local discontinuous Galerkin methods on mixed form. The penalization term on the faces is relaxed to act only on a part of the polynomial spectrum.
Burman, Erik, Stamm, Benjamin
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A local discontinuous Galerkin method for the compressible Reynolds lubrication equation
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iñigo Arregui +2 more
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