Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem

M. Boulbrachene; Signor Saadi

doi:10.1155/ADE/2006/85807

Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem

M. Boulbrachene^*, Signor Saadi

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We provide a maximum norm analysis of an overlapping Schwarz method on nonmatching grids for second-order elliptic obstacle problem. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from the other subdomain. Under a discrete maximum principle, we show that the discretization on each subdomain converges quasi-optimally in the L^∞ norm.

Original language	English
Article number	85807
Journal	Advances in Difference Equations
Volume	2006
DOIs	https://doi.org/10.1155/ADE/2006/85807
Publication status	Published - 2006

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1155/ADE/2006/85807

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abstract = "We provide a maximum norm analysis of an overlapping Schwarz method on nonmatching grids for second-order elliptic obstacle problem. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from the other subdomain. Under a discrete maximum principle, we show that the discretization on each subdomain converges quasi-optimally in the L∞ norm.",

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AB - We provide a maximum norm analysis of an overlapping Schwarz method on nonmatching grids for second-order elliptic obstacle problem. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from the other subdomain. Under a discrete maximum principle, we show that the discretization on each subdomain converges quasi-optimally in the L∞ norm.

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Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem

Abstract

ASJC Scopus subject areas

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