An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems-Reference-Cited by-同舟云学术

An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems

Published:2005-06 Issue:1-3 Volume:22-23 Page:147-185
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Bustinza Rommel,Gatica Gabriel N.,Cockburn Bernardo

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-004-4137-5.pdf

Reference20 articles.

1. An Interior Penalty Finite Element Method with Discontinuous Elements

2. Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

3. Energy norm a posteriori error estimation for discontinuous Galerkin methods

4. Becker, R., Hansbo, P., and Stenberg, R. (2001). A finite element method for domain decomposition with non-matching grids. Preprint 2001-15. Chalmers Finite Element Center, Chalmers University of Technology, Sweden.

Cited by 58 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An a posteriori error analysis for an augmented discontinuous Galerkin method applied to Stokes problem;Numerical Methods for Partial Differential Equations;2024-03-22

2. A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids;International Journal of Numerical Analysis and Modeling;2023-06

3. A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type;Computational Methods in Applied Mathematics;2022-05-26

4. An equilibrated a posteriori error estimator for an Interior Penalty Discontinuous Galerkin approximation of the p-Laplace problem;Russian Journal of Numerical Analysis and Mathematical Modelling;2021-12-01

5. Two Efficient and Reliable a posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Linear Elliptic Problems on Cartesian Grids;Journal of Scientific Computing;2021-04-24