Two-grid virtual element discretization of quasilinear elliptic problem

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 g...

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Vydáno v:	Mathematical modelling and analysis Ročník 29; číslo 1; s. 77 - 89
Hlavní autoři:	Chen, Fengxin, Yang, Minghui, Zhou, Zhaojie
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Vilnius Vilnius Gediminas Technical University 23.02.2024
Témata:	a priori error estimate Algorithms Approximation Discretization Error analysis Finite element analysis Methods Partial differential equations Polynomials two grid algorithm virtual element method virtual element method two grid algorithm a priori error estimate
ISSN:	1392-6292, 1648-3510
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2024.17745