Fourier-Galerkin algorithm for 2D localized solutions

ЗаглавиеFourier-Galerkin algorithm for 2D localized solutions
Вид публикацияJournal Article
Година на публикуване1997
АвториChristov C
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том89
IssueLivre 2 - Mathématiques Appliquée et Informatique
Pagination169-179
ISSN0205-0808
ключови думиbilinear Laplace equation, Fourier-Galerkin method, localized solutions
Резюме

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

Прикачен файлРазмер
PDF icon 89-169-179.pdf971.49 KB