Results 171 to 180 of about 17,200,724 (197)

Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation

Journal of Scientific Computing, 2014
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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, 2017
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Xingjie Helen Li 0001, Chi-Wang Shu, Yang Yang 0014   +2 more
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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
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Local Discontinuous Galerkin Method with Reduced Stabilization for Diffusion Equations

Communications in Computational Physics, 2009
We 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, 2019
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Iñigo Arregui, J. Jesús Cendán, María González   +2 more
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Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs

Journal of Scientific Computing, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan Xu 0008, Chi-Wang Shu
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The local discontinuous Galerkin method for the nonlinear quantum Zakharov system

Journal of Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan Wang, Qi Tao, Yan Xu 0008
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An Optimal Estimate for the Local Discontinuous Galerkin Method

2000
L 2 error estimates for the Local Discontinuous Galerkin (LDG) method have been theoretically proven for linear convection diffusion problems and periodic boundary conditions. It has been proven that when polynomials of degree k are used, the LDG method has a suboptimal order of convergence k.
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Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes

SIAM Journal on Numerical Analysis, 2020
Boying Wu, Xiong Meng
exaly  

Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

SIAM Journal on Numerical Analysis, 2010
Chi-Wang Shu, Yingda Cheng
exaly