| Автор | Jim Douglas Jr. |
| Автор | Santos, Juan E. |
| Автор | Sheen, Dongwoo |
| Автор | Ye, Xiu |
| Дата выпуска | 1999 |
| dc.description | Low-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on P <sub>1</sub>, as for conforming elements; however, it is necessary to introduce new elements in the rectangular case. Optimal order error estimates are demonstrated in all cases with respect to a broken norm in H <sup>1</sup>(Ω) and in the Neumann and Robin cases in L <sup>2</sup>(Ω). |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | Nonconforming Galerkin methods |
| Тема | quadrilateral elements |
| Тема | second order elliptic problems |
| Тема | domain decomposition iterative methods. |
| Название | Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems |
| Тип | research-article |
| DOI | 10.1051/m2an:1999161 |
| Electronic ISSN | 1290-3841 |
| Print ISSN | 0764-583X |
| Журнал | ESAIM: Mathematical Modelling and Numerical Analysis |
| Том | 33 |
| Первая страница | 747 |
| Последняя страница | 770 |
| Аффилиация | Jim Douglas Jr. ; Center for Applied Mathematics, Purdue University, West Lafayette, IN 47907-1395, USA. Supported in part by the NSF and the ONR. douglas@math.purdue.edu. |
| Аффилиация | Santos Juan E.; Center for Applied Mathematics, Purdue University, West Lafayette, IN 47907-1395, USA, and CONICET, Observatorio Astronomico, Universidad Nacional de La Plata, La Plata 1900, Argentina. |
| Аффилиация | Sheen Dongwoo; Department of Mathematics, Seoul National University, Seoul 151-742, Korea. Supported in part by KOSEF-GARC and BSRI-MOE-97. |
| Аффилиация | Ye Xiu; Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock, AR 72204-1099, USA. |
| Выпуск | 4 |
