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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, Pages 3094–3123, https://doi.org/10.1093/imanum/drad084 is available online at: https://academic.oup.com/imajna/article-abstract/44/5/3094/7407729?redirectedFrom=fulltext&login=false |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1386 | ISSN: | 02724979 | DOI: | 10.1093/imanum/drad084 |
| Appears in Collections: | Research outputs |
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| File | Description | Size | Format | Existing users please |
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| ZAS-final.pdf | 410 kB | Adobe PDF | Request a copy |
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