A Domain Decomposition Scheme for Couplings between Local and Nonlocal Equations

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Computational Methods in Applied Mathematics Pub Date : 2022-12-12 DOI:10.48550/arXiv.2212.06093

Gabriel Acosta, Francisco M. Bersetche, J. Rossi

引用次数: 1

Abstract

Abstract We study a natural alternating method of Schwarz type (domain decomposition) for a certain class of couplings between local and nonlocal operators. We show that our method fits into Lions’s framework and prove, as a consequence, convergence in both the continuous and the discrete settings.

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局部与非局部方程耦合的一种区域分解格式

摘要研究了一类局部算子与非局部算子耦合的Schwarz型自然交替方法（域分解）。我们证明了我们的方法符合Lions的框架，并因此证明了在连续和离散环境中的收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Methods in Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.40

自引率

7.70%

发文量

期刊介绍： The highly selective international mathematical journal Computational Methods in Applied Mathematics　(CMAM) considers original mathematical contributions to computational methods and numerical analysis with applications mainly related to PDEs. CMAM seeks to be interdisciplinary while retaining the common thread of numerical analysis, it is intended to be readily readable and meant for a wide circle of researchers in applied mathematics. The journal is published by De Gruyter on behalf of the Institute of Mathematics of the National Academy of Science of Belarus.