Self-adaptive space and time grids in device simulation
| العنوان: | Self-adaptive space and time grids in device simulation |
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| المؤلفون: | G. Nanz, W. Kausel, Siegfried Selberherr |
| المصدر: | International Journal for Numerical Methods in Engineering. 31:1357-1374 |
| بيانات النشر: | Wiley, 1991. |
| سنة النشر: | 1991 |
| مصطلحات موضوعية: | Numerical Analysis, Mathematical optimization, Computer program, Degree (graph theory), Automatic control, Spacetime, Heuristic (computer science), Computer science, Applied Mathematics, General Engineering, Finite difference, Space (mathematics), Grid, Algorithm |
| الوصف: | SUMMARY For the solution of the three basic semiconductor equations in two space dimensions fully self-adaptive grids are a powerful tool to optimize the ratio between the number of unknowns and the accuracy of the solution. For the method of finite differences hardly any mathematically founded criterion for automatic grid control can be given which can be implemented in a computer program with acceptable effort. Therefore most of the strategies for self-adaptive grid control are totally heuristic or derived from physical properties. In this paper we present criteria for the design of an initial space grid. We discuss some conventional strategies for the automatic control of space grids (e.g. equidistribution of the local discretization error) and present new criteria (e.g. degree of cohpling of the equations, physical properties like net generation rate). For the time grid an automatic step length control algorithm is presented and the interaction between space and time grid is analysed. Throughout the paper the results are illustrated by realistic examples. |
| تدمد: | 1097-0207 0029-5981 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::855336c131ba3f05c737d3981f85f790 https://doi.org/10.1002/nme.1620310709 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........855336c131ba3f05c737d3981f85f790 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10970207 00295981 |
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