# Maximum norm error analysis of a nonmatching grids finite element method for linear elliptic PDEs

Messaoud Boulbrachene, Qais Al Farei

Research output: Contribution to journalArticle

2 Citations (Scopus)

### Abstract

In this paper, we study a nonmatching grid finite element approximation of linear elliptic PDEs in the context of the Schwarz alternating domain decomposition.We show that the approximation converges optimally in the maximum norm, on each subdomain, making use of the geometrical convergence of both the continuous and corresponding discrete Schwarz sequences. We also give some numerical results to support the theory.

Original language English 21-29 9 Applied Mathematics and Computation 238 https://doi.org/10.1016/j.amc.2014.03.146 Published - Jul 1 2014

### Fingerprint

Non-matching Grids
Elliptic PDE
Maximum Norm
Domain Decomposition
Finite Element Approximation
Error Analysis
Error analysis
Finite Element Method
Decomposition
Converge
Finite element method
Numerical Results
Approximation
Context

### Keywords

• Elliptic PDEs
• Finite element
• L
• Nonmatching grids
• Schwarz alternating method

### ASJC Scopus subject areas

• Applied Mathematics
• Computational Mathematics

### Cite this

In: Applied Mathematics and Computation, Vol. 238, 01.07.2014, p. 21-29.

Research output: Contribution to journalArticle

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