Results 171 to 180 of about 22,455 (230)

Preconditioning Methods for Local Discontinuous Galerkin Discretizations

SIAM Journal on Scientific Computing, 2003
A general framework for preconditioning saddle point problems has been successfully applied to stable, conforming discretizations of Stokes and Oseen equations by \textit{H. C. Elman}, \textit{D. J. Silvester} and \textit{A. J. Wathen} [Numer. Math. 90, 665--688 (2002; Zbl 1143.76531)].
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Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation

, 2020
In this paper, we study superconvergence properties of the ultraweak-local discontinuous Galerkin (UWLDG) method in Tao et al. [To appear in Math. Comput. DOI: https://doi.org/10.1090/mcom/3562 (2020).] for an one-dimensional linear fourth-order equation.
Yong Liu, Q. Tao, Chi-Wang Shu
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Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach

Journal of Computational Physics, 2013
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Wei Guo 0004, Xinghui Zhong, Jing-Mei Qiu   +2 more
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A Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations

Acta Mathematica Scientia, 2023
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Zeng, Zhankuan, Chen, Yanping
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On the Coupling of Local Discontinuous Galerkin and Conforming Finite Element Methods

Journal of Scientific Computing, 2001
The 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, 2010
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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, 2005
The 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, 2017
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Joshua Buli, Yulong Xing
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Local discontinuous Galerkin methods for the Cahn–Hilliard type equations

Journal of Computational Physics, 2007
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Yinhua Xia, Yan Xu 0008, Chi-Wang Shu
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Local discontinuous Galerkin method for modeling the nonplanar structures (solitons and shocks) in an electronegative plasma

Physics of Plasmas, 2019
Using the hydrodynamic equations of cold inertial positive ions with the Maxwellian distribution for light negative ion and electron densities and the Poisson equation, the family of nonplanar (cylindrical and spherical) Korteweg-de Vries (KdV) equations,
S. El-Tantawy, T. Aboelenen, S. M. Ismaeel   +2 more
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