| Title | Fourier-Galerkin algorithm for 2D localized solutions |
| Publication Type | Journal Article |
| Year of Publication | 1997 |
| Authors | Christov C |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 89 |
| Issue | Livre 2 - Mathématiques Appliquée et Informatique |
| Pagination | 169-179 |
| ISSN | 0205-0808 |
| Keywords | bilinear Laplace equation, Fourier-Galerkin method, localized solutions |
| Abstract | The paper presents the numerical implementation in 2D of Fourier-Galerkin expansion with complete orthonormal basis system of localized functions. The bilinear Laplace equation is considered as a featuring example. Coordinate splitting is used to reduce the cost of inversion of the linear matrices for the coefficients. The axisymmetric solution is calculated as a 2D problem and compared to a numerical solution, found by means of a difference scheme. |
| 1991/95 MSC | 65N30 |
| Attachment | Size |
|---|---|
 89-169-179.pdf | 971.49 KB |