Results 181 to 190 of about 22,455 (230)

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Journal of Scientific Computing, 2005
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Fengyan Li, Chi-Wang Shu
openaire   +1 more source

High‐order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo–Fabrizio fractional derivative

Numerical Methods for Partial Differential Equations, 2019
In this article, a local discontinuous Galerkin (LDG) method is studied for numerically solving the fractal mobile/immobile transport equation with a new time Caputo–Fabrizio fractional derivative.
Min Zhang, Yang Liu, Hong Li
semanticscholar   +1 more source

Local Discontinuous Galerkin Methods for the Khokhlov–Zabolotskaya–Kuznetzov Equation

Journal of Scientific Computing, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ching-Shan Chou, Weizhou Sun, Yulong Xing, He Yang   +3 more
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Maximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshes

Journal of Computational Physics, 2019
Local discontinuous Galerkin (LDG) methods are popular for convection-diffusion equations. In LDG methods, we introduce an auxiliary variable p to represent the derivative of the primary variable u, and solve them on the same mesh.
Jie Du, Yang Yang
semanticscholar   +1 more source

An hp-Analysis of the Local Discontinuous Galerkin Method for Diffusion Problems

Journal of Scientific Computing, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ilaria Perugia, Dominik Schötzau
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Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation

Journal of Scientific Computing, 2014
zbMATH 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 time variable order fractional differential equations with sub-diffusion and super-diffusion

Applied Numerical Mathematics, 2020
This paper presents an approximate solution of time variable order fractional differential equations with sub-diffusion and super-diffusion. The aim of paper is to solve and analyze this problem by a fully discrete local discontinuous Galerkin scheme ...
M. Ahmadinia, Z. Safari, M. Abbasi
semanticscholar   +1 more source

Balanced-norm error estimate of the local discontinuous Galerkin method on layer-adapted meshes for reaction-diffusion problems

Numerical Algorithms, 2022
Yao Cheng, Li Yan, Yanjie Mei
semanticscholar   +1 more source

Local discontinuous Galerkin method combined with the L2 formula for the time fractional Cable model

Journal of Applied Mathematics and Computation, 2022
Minghui Song, Jinfeng Wang, Yang Liu, Haiyang Li   +3 more
semanticscholar   +1 more source

Locally divergence-free discontinuous Galerkin methods for the Maxwell equations

Journal of Computational Physics, 2004
This 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, Li, Fengyan, Shu, Chi-Wang   +2 more
openaire   +2 more sources