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https://research.matf.bg.ac.rs/handle/123456789/2399| Title: | Finite difference approximation of an elliptic problem with nonlocal boundary condition | Authors: | Živanović, Sandra Jovanović, Boško S. |
Affiliations: | Numerical Mathematics and Optimization | Keywords: | Error bound;Finite differences;Nonlocal boundary condition;Poisson equation;Sobolev space | Issue Date: | 1-Jan-2016 | Rank: | M21 | Publisher: | Niš : Prirodno-matematički fakultet | Journal: | Filomat | Abstract: | We consider Poisson’s equation on the unit square with a nonlocal boundary condition. The existence and uniqueness of its weak solution in Sobolev space H 1 is proved. A finite difference scheme approximating this problem is proposed. An error estimate compatible with the smoothness of input data in discrete H 1 Sobolev norm is obtained. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/2399 | ISSN: | 03545180 | DOI: | 10.2298/FIL1606549H |
| Appears in Collections: | Research outputs |
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