H 1 ‐superconvergence of finite difference method based on Q 1 ‐element on quasi‐uniform mesh for the 3D Poisson equation-Reference-Cited by-同舟云学术

H 1 ‐superconvergence of finite difference method based on Q 1 ‐element on quasi‐uniform mesh for the 3D Poisson equation

Published:2019-05-21 Issue:1 Volume:36 Page:29-48
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Feng Xinlong¹^ORCID,He Ruijian²,Chen Zhangxin²

Affiliation:

1. College of Mathematics and Systems ScienceXinjiang University Urumqi P.R. China

2. Department of Chemical and Petroleum Engineering, Schulich School of EngineeringUniversity of Calgary Calgary Alberta Canada

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22386

Reference57 articles.

1. Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence

2. Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids

3. Connection between finite volume and mixed finite element methods

4. Convergence of a Compact Scheme for the Pure Streamfunction Formulation of the Unsteady Navier–Stokes System

5. J. H.BrandtsandM.Křížek History and future of superconvergence in three‐dimensional finite element methods Proceedings of the conference on finite element methods: Three‐dimensional problems GAKUTO International Series. Mathematical Sciences and Applications 15 Gakkotosho Tokyo 2001 pp. 22–33.

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