Convergence Analysis of a Non-Overlapping Domain Decomposition Method for Elliptic PDEs

Abstract

In this study we analyze a non-overlapping domain decomposition method for the solution of elliptic Partial Di erential Equation (PDE) problems. This domain decomposition method involves the solution of Dirichlet and Neumann PDE problems on each subdomain, coupled with smoothing operations on the interfaces of the subdomains. The convergence analysis of the method at the di erential equation level is presented. The numerical results con rm the theoretical ones and exhibit computational e ciency of the method.

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Cite this paper

@inproceedings{Rice1997ConvergenceAO, title={Convergence Analysis of a Non-Overlapping Domain Decomposition Method for Elliptic PDEs}, author={John R. Rice and Daoqi Yang}, year={1997} }