TWO-GRID VIRTUAL ELEMENT DISCRETIZATION OF QUASILINEAR ELLIPTIC PROBLEM-Reference-Cited by-同舟云学术

TWO-GRID VIRTUAL ELEMENT DISCRETIZATION OF QUASILINEAR ELLIPTIC PROBLEM

Published:2024-02-23 Issue:1 Volume:29 Page:77-89
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
Short-container-title:

Author:

Chen Fengxin¹,Yang Minghui²^ORCID,Zhou Zhaojie²

Affiliation:

1. School of Science, Shandong Jiaotong University, 250357 Jinan, China

2. School of Mathematics and Statistics, Shandong Normal University, 250014 Jinan, China

Abstract

In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a quasilinear elliptic problem on a much coarser grid, and the solution of a linear system on the fine grid. A priori error estimate in H1 norm is derived. Numerical experiments are carried out to illustrate the theoretical findings.

Publisher

Vilnius Gediminas Technical University

Reference20 articles.

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