A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions-Reference-Cited by-同舟云学术

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

Published:2023-11-14 Issue: Volume: Page:
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Milovanović Jeknić Zorica¹,Delić Aleksandra²,Živanović Sandra²

Affiliation:

1. Faculty of Construction Management , University ‘Union-Nikola Tesla’, Cara Dušana 62-64, 11000, Belgrade, Serbia

2. Faculty of Mathematics , University of Belgrade, Studentski trg 16, 11000, Belgrade, Serbia

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/drad084/53392512/drad084.pdf

Reference19 articles.

1. Global solvability of a nonlinear nonstationary problem with a nonlocal boundary condition of radiation heat transfer type;Amosov;Differ. Equ.,2005

2. The Mathematical Theory of Finite Element Methods

3. Biological and Bioenvironmental Heat and Mass Transfer

4. Weak solutions to a time-dependent heat equation with nonlocal radiation condition and right hand side in ${L}^p \left (p\ge 1\right )$;Druet,2008

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