Overlapping Optimized Schwarz Methods for Parabolic Equations in n-Dimensions

Minh-Binh Tran

Overlapping Optimized Schwarz Methods for Parabolic Equations in n-Dimensions

Numerical Analysis 2010-08-05 v1 Analysis of PDEs

Authors: Minh-Binh Tran

Abstract

We introduce in this paper a new tool to prove the convergence of the Overlapping Optimized Schwarz Methods with multisubdomains. The technique is based on some estimates of the errors on the boundaries of the overlapping strips. Our guiding example is an n-Dimensional Linear Parabolic Equation.

Keywords

partial differential equations numerical analysis

Cite

@article{arxiv.1008.0806,
  title  = {Overlapping Optimized Schwarz Methods for Parabolic Equations in n-Dimensions},
  author = {Minh-Binh Tran},
  journal= {arXiv preprint arXiv:1008.0806},
  year   = {2010}
}

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