| Автор | Leyk, Zbigniew |
| Дата выпуска | 1997 |
| dc.description | AbstractWe describe a C<sup>0</sup>-collocation-like method for solving two-dimensional elliptic Dirichlet problems on rectangular regions, using tensor products of continuous piecewise polynomials. Nodes of the Lobatto quadrature formula are taken as the points of collocation. We show that the method is stable and convergent with order h<sup>r</sup>(r ≥ 1) in the H<sup>1</sup>–norm and h<sup>r+1</sup>(r ≥ 2) in the L<sup>2</sup>–norm, if the collocation solution js a piecewise polynomial of degree not greater than r with respect to each variable. The method has an advantage over the Galerkin procedure for the same space in that no integrals need be evaluated or approximated. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Australian Mathematical Society 1997 |
| Название | A C<sup>0</sup>-Collocation-like method for elliptic equations on rectangular regions |
| Тип | research-article |
| DOI | 10.1017/S0334270000000734 |
| Electronic ISSN | 1446-8735 |
| Print ISSN | 0334-2700 |
| Журнал | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| Том | 38 |
| Первая страница | 368 |
| Последняя страница | 387 |
| Выпуск | 3 |
