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Numerical solution of the three-dimensional Dirichlet problem for inhomogeneous media by the method of integral equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zakharov, Evgueni V. Kalinin, Alexander |
| Copyright Year | 2013 |
| Abstract | We consider the three-dimensional Dirichlet problem for equations of elliptic type in inhomogeneous media. The problem can be reduced to a system of loaded Fredholm integral equations of the second kind over the volume. We prove the uniqueness of a classical solution of the problem. We suggest a numerical solution algorithm of iterative type. An example of the numerical solution of the problem is considered, and the convergence of the iterative procedure is demonstrated numerically. |
| Starting Page | 1160 |
| Ending Page | 1167 |
| Page Count | 8 |
| File Format | PDF HTM / HTML |
| DOI | 10.1134/S0012266113090115 |
| Alternate Webpage(s) | http://ep-solutions.ch/wp-content/uploads/2015/01/Numerical-Solution-of-the-Three-Dimensional-Dirichlet-Problem-for-Inhomogeneous-Media-by-the-Method-of-Integral-Equations.pdf |
| Alternate Webpage(s) | https://doi.org/10.1134/S0012266113090115 |
| Volume Number | 49 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
