| Автор | Wang, Song |
| Дата выпуска | 1999 |
| dc.description | In this paper we present a novel exponentially fitted finite element method with triangular elements for the decoupled continuity equations in the drift-diffusion model of semiconductor devices. The continuous problem is first formulated as a variational problem using a weighted inner product. A Bubnov-Galerkin finite element method with a set of piecewise exponential basis functions is then proposed. The method is shown to be stable and can be regarded as an extension to two dimensions of the well-known Scharfetter-Gummel method. Error estimates for the approximate solution and its associated flux are given. These h-order error bounds depend on some first-order seminorms of the exact solution, the exact flux and the coefficient function of the convection terms. A method is also proposed for the evaluation of terminal currents and it is shown that the computed terminal currents are convergent and conservative. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | exponential fitting |
| Тема | finite element method |
| Тема | semiconductors. |
| Название | A new exponentially fitted triangular finite element method for the continuity equations in the drift-diffusion model of semiconductor devices |
| Тип | research-article |
| DOI | 10.1051/m2an:1999107 |
| Electronic ISSN | 1290-3841 |
| Print ISSN | 0764-583X |
| Журнал | ESAIM: Mathematical Modelling and Numerical Analysis |
| Том | 33 |
| Первая страница | 99 |
| Последняя страница | 112 |
| Аффилиация | Wang Song; School of Mathematics and Statistics Curtin University of Technology, Perth 6845, Australia. |
| Выпуск | 1 |
