Homogeneous multigrid method for hybridizable interior penalty method

IF 1.7 3区数学 Q2 MATHEMATICS, APPLIED

Numerical Algorithms Pub Date : 2024-09-17 DOI:10.1007/s11075-024-01942-5

Peipei Lu, Juan Wang

引用次数: 0

Abstract

In this paper, we present a rigorous convergence analysis of a homogeneous multigrid method for the hybridizable interior penalty (IP-H) method. In particular, we use the injection operator developed in (Lu et al. SIAM J. Numer. Anal. 60, 2293–2317 2022). It is shown that when the penalization parameter is sufficiently large, our proposed multigrid method is optimal under the assumption of elliptic regularity. Numerical experiments are provided to confirm the theoretical results.

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可混合内部惩罚法的均质多网格方法

在本文中，我们对可混合内部惩罚（IP-H）方法的同质多网格方法进行了严格的收敛分析。特别是，我们使用了（Lu 等，SIAM J. Numer. Anal.）结果表明，当惩罚参数足够大时，我们提出的多网格方法在椭圆正则性假设下是最优的。数值实验证实了理论结果。

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

Numerical Algorithms 数学-应用数学

CiteScore

4.00

自引率

9.50%

发文量

201

审稿时长

9 months

期刊介绍： The journal Numerical Algorithms is devoted to numerical algorithms. It publishes original and review papers on all the aspects of numerical algorithms: new algorithms, theoretical results, implementation, numerical stability, complexity, parallel computing, subroutines, and applications. Papers on computer algebra related to obtaining numerical results will also be considered. It is intended to publish only high quality papers containing material not published elsewhere.