Optimal superconvergence and asymptotically exact a posteriori error estimator for the local discontinuous Galerkin method for linear elliptic problems on Cartesian grids-Reference-Cited by-同舟云学术

Optimal superconvergence and asymptotically exact a posteriori error estimator for the local discontinuous Galerkin method for linear elliptic problems on Cartesian grids

Published:2021-04 Issue: Volume:162 Page:201-224
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Baccouch Mahboub

Funder

Nebraska Space Grant Consortium

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference47 articles.

1. A superconvergent local discontinuous Galerkin method for elliptic problems;Adjerid;J. Sci. Comput.,2012

2. Adaptivity and error estimation for discontinuous Galerkin methods;Adjerid,2014

3. An improved superconvergence error estimate for the LDG method;Adjerid;Appl. Numer. Math.,2015

4. A synthesis of a posteriori error estimation techniques for conforming, nonconforming and discontinuous Galerkin finite element methods;Ainsworth,2005

5. A posteriori error estimation for discontinuous Galerkin finite element approximation;Ainsworth;SIAM J. Numer. Anal.,2007

Cited by 3 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 h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations;Axioms;2023-02-21

2. Superconvergence Analysis of the Ultra-Weak Local Discontinuous Galerkin Method for One Dimensional Linear Fifth Order Equations;Journal of Scientific Computing;2021-07-26

3. Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids;Communications on Applied Mathematics and Computation;2021-06-23