Overlapping Optimized Schwarz Methods for Parabolic Equations in\n n-Dimensions

2010/08/04 by Minh-Binh Tran, Tran, Minh-Binh
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1008.0806

openalex publication_date 2010/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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