A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

IMA Journal of Numerical Analysis Pub Date : 2023-11-14 DOI:10.1093/imanum/drad084

Zorica Milovanović Jeknić, Aleksandra Delić, Sandra Živanović

引用次数: 0

Abstract

We consider an elliptic boundary value problem with nonlocal conjugation conditions. An a priori estimate for its weak solution in an appropriate Sobolev-like space is proved. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate, compatible with the smoothness of the input data, is obtained.

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具有非局部共轭条件的椭圆型二维边值问题

考虑一类具有非局部共轭条件的椭圆型边值问题。证明了其弱解在适当的类sobolev空间中的先验估计。提出并分析了近似于该问题的有限差分格式。得到了与输入数据的平滑性相适应的收敛速率估计。

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

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.