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https://research.matf.bg.ac.rs/handle/123456789/1386| Title: | A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions |
| Authors: | Jeknić, Zorica Milovanović Delić, Aleksandra Živanović, Sandra |
| Affiliations: | Numerical Mathematics and Optimization Numerical Mathematics and Optimization |
| Keywords: | convergence rate;finite differences;nonlocal conjugation conditions;Sobolev spaces |
| Issue Date: | 1-Sep-2024 |
| Rank: | M21 |
| Publisher: | Oxford Academic |
| Journal: | IMA Journal of Numerical Analysis |
| 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. |
| Description: | This is a pre-copyedited, author-produced PDF of an article accepted for publication in IMA Journal of Numerical Analysis following peer review. The version of record Zorica Milovanović Jeknić, Aleksandra Delić, Sandra Živanović, A two-dimensional boundary value problem of elliptic type with nonlocal conjugation conditions, IMA Journal of Numerical Analysis, Volume 44, Issue 5, September 2024, Pag... |
| URI: | https://research.matf.bg.ac.rs/handle/123456789/1386 |
| ISSN: | 02724979 |
| DOI: | 10.1093/imanum/drad084 |
| Appears in Collections: | Research outputs |
Files in This Item:
| File | Description | Size | Format | Existing users please |
|---|---|---|---|---|
| ZAS-final.pdf | 410 kB | Adobe PDF | Request a copy |
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