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The Schwarz alternating method can be used to solve elliptic boundary value problems on domains which consist of two or more overlapping subdomains. The solution is approximated by an infinite sequence of functions which results from solving a sequence of elliptic boundary value problems in each of the subdomains. In this paper, proofs of convergence of some Schwarz alternating methods for nonlinear elliptic problems which are known to have solutions by the monotone method (also known as the method...
The Schwarz alternating method can be used to solve
elliptic boundary value problems on domains which consist of two or more
overlapping subdomains. The solution is approximated by an infinite sequence of
functions which results from solving a sequence of elliptic boundary value
problems in each of the subdomains. In this paper, proofs of convergence of some Schwarz alternating methods for
nonlinear elliptic problems which are known to have solutions by the monotone
method (also known as the method...
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