Corrigendum: Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Numerical Analysis Pub Date : 2025-02-25 DOI:10.1137/24m1693453

Martin J. Gander, Ronald D. Haynes, Felix Kwok

引用次数: 0

Abstract

SIAM Journal on Numerical Analysis, Volume 63, Issue 1, Page 461-467, February 2025.
Abstract. Various nonlinear Schwarz domain decomposition methods were proposed to solve the one-dimensional equidistribution principle in [M. J. Gander and R. D. Haynes, SIAM J. Numer. Anal., 50 (2012), pp. 2111-2135]. A corrected proof of convergence for the linearized Schwarz algorithm presented in section 3.2, under additional hypotheses, is presented here. An alternative linearized Schwarz algorithm for equidistributed grid generation is also provided.

查看原文本刊更多论文

勘误：通过均分原理生成网格的域分解方法

SIAM数值分析杂志，第63卷，第1期，第461-467页，2025年2月。摘要。提出了多种非线性Schwarz域分解方法来求解[M]中的一维均匀分布原理。J.甘德和R. D.海恩斯，SIAM J. number。分析的。， 50 (2012), pp. 2111-2135]。第3.2节中给出的线性化Schwarz算法在附加假设下的收敛性的修正证明，在这里给出。本文还提供了一种可选的用于等分布网格生成的线性化Schwarz算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

SIAM Journal on Numerical Analysis 数学-应用数学

CiteScore

4.80

自引率

6.90%

发文量

110

审稿时长

4-8 weeks

期刊介绍： SIAM Journal on Numerical Analysis (SINUM) contains research articles on the development and analysis of numerical methods. Topics include the rigorous study of convergence of algorithms, their accuracy, their stability, and their computational complexity. Also included are results in mathematical analysis that contribute to algorithm analysis, and computational results that demonstrate algorithm behavior and applicability.