| Автор | Hebeker, Friedrich Karl |
| Дата выпуска | 2000 |
| dc.description | We consider a domain decomposition method for some unsteady heat conduction problem in composite structures. This linear model problem is obtained by homogenization of thin layers of fibres embedded into some standard material. For ease of presentation we consider the case of two space dimensions only. The set of finite element equations obtained by the backward Euler scheme is parallelized in a problem-oriented fashion by some noniterative overlapping domain splitting method, eventually enhanced by inexpensive local iterations to reduce the overlap. We present a detailed convergence analysis of this algorithm which is particularly well appropriate to handle fibre layers of nonlinear material. Special emphasis is to take into account the specific regularity properties of the present mathematical model. Numerical experiments show the reliability of the theoretical predictions. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 2000 |
| Тема | Fibre layers of adaptive material |
| Тема | homogenization |
| Тема | heat conduction |
| Тема | finite element method |
| Тема | noniterative overlapping domain decomposition. |
| Название | A domain splitting method for heat conduction problems in composite materials |
| Тип | research-article |
| DOI | 10.1051/m2an:2000130 |
| Electronic ISSN | 1290-3841 |
| Print ISSN | 0764-583X |
| Журнал | ESAIM: Mathematical Modelling and Numerical Analysis |
| Том | 34 |
| Первая страница | 47 |
| Последняя страница | 62 |
| Аффилиация | Hebeker Friedrich Karl; Fachbereich Mathematik, Justus-Liebig-Universit t Gießen, Arndtstr. 2, 35392 Gießen, Germany. (friedrich.k.hebeker@math.uni-giessen.de) |
| Выпуск | 1 |
