Dirichlet边界控制问题的AFEM的收敛性和拟最优性

IF 2.4 2区数学 Q1 MATHEMATICS, APPLIED

IMA Journal of Numerical Analysis Pub Date : 2024-12-26 DOI:10.1093/imanum/drae092

Arnab Pal, Thirupathi Gudi

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引用次数: 0

摘要

本文展示了Chowdhury等人（2017，基于能量空间的Dirichlet边界控制问题的误差边界，数学）提出的Dirichlet边界控制问题的自适应有限元法的收敛性和准最优收敛率。比较，86,1103-1126)。数值实验验证了理论结果。

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Convergence and quasi-optimality of an AFEM for the Dirichlet boundary control problem

In this article, convergence and quasi-optimal rate of convergence of an Adaptive Finite Element Method is shown for the Dirichlet boundary control problem that was proposed by Chowdhury et al. (2017, Error bounds for a Dirichlet boundary control problem based on energy spaces, Math. Comp., 86, 1103–1126). The theoretical results are illustrated by numerical experiments.

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来源期刊

IMA Journal of Numerical Analysis 数学-应用数学

CiteScore

5.30

自引率

4.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The IMA Journal of Numerical Analysis (IMAJNA) publishes original contributions to all fields of numerical analysis; articles will be accepted which treat the theory, development or use of practical algorithms and interactions between these aspects. Occasional survey articles are also published.