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Method of boundary integral equations as applied to the numerical solution of the three-dimensional Dirichlet problem for the laplace equation in a piecewise homogeneous medium
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zakharov, Evgueni V. Kalinin, Alexey V. |
| Copyright Year | 2009 |
| Abstract | A Dirichlet problem is considered in a three-dimensional domain filled with a piecewise homogeneous medium. The uniqueness of its solution is proved. A system of Fredholm boundary integral equations of the second kind is constructed using the method of surface potentials, and a system of boundary integral equations of the first kind is derived directly from Green's identity. A technique for the numerical solution of integral equations is proposed, and results of numerical experiments are presented. |
| Starting Page | 1141 |
| Ending Page | 1150 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1134/S0965542509070070 |
| Volume Number | 49 |
| Alternate Webpage(s) | http://ep-solutions.ch/wp-content/uploads/2015/01/Method-of-Boundary-Integral-Equations.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |