ARTICLE
TITLE

Finite Element Convergence Analysis of a Schwarz Alternating Method for Nonlinear Elliptic PDEs

SUMMARY

In this paper, we prove uniform convergence of the standard finite element method for a Schwarz alternating procedure for nonlinear elliptic partial differential equations in the context of linear subdomain problems and nonmatching grids. The method stands on the combination of the convergence of the Schwarz sequence [1] with standard finite element  -error estimate for linear problems. 

PAGES
pp. 109 - 121
COLLECTIONS
Pure sciences

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Revista: The Nucleus