{"title":"适用于半导体器件方程求解的收敛算法","authors":"Miroslav Pospíšek","doi":"10.21136/am.1995.134283","DOIUrl":null,"url":null,"abstract":"Summary. In this paper, two algorithms are proposed to so l ve systems of a l gebraic equations generated by a discretization procedure of the weak formu l ation of boundary va l ue prob l ems for systems of non l inear e ll iptic equations. The first a l gorithm, Newton-CG-MG, is suitab l e for systems with gradient mappings, whi l e the second, Newton-CE-MG, can be app l ied to more genera l systems. Convergence theorems are proved and app l ication to the semiconductor device mode ll ing is described.","PeriodicalId":55505,"journal":{"name":"Applications of Mathematics","volume":"28 1","pages":"107-130"},"PeriodicalIF":0.6000,"publicationDate":"1995-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Convergent algorithms suitable for the solution of the semiconductor device equations\",\"authors\":\"Miroslav Pospíšek\",\"doi\":\"10.21136/am.1995.134283\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary. In this paper, two algorithms are proposed to so l ve systems of a l gebraic equations generated by a discretization procedure of the weak formu l ation of boundary va l ue prob l ems for systems of non l inear e ll iptic equations. The first a l gorithm, Newton-CG-MG, is suitab l e for systems with gradient mappings, whi l e the second, Newton-CE-MG, can be app l ied to more genera l systems. Convergence theorems are proved and app l ication to the semiconductor device mode ll ing is described.\",\"PeriodicalId\":55505,\"journal\":{\"name\":\"Applications of Mathematics\",\"volume\":\"28 1\",\"pages\":\"107-130\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"1995-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applications of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.21136/am.1995.134283\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applications of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.21136/am.1995.134283","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Convergent algorithms suitable for the solution of the semiconductor device equations
Summary. In this paper, two algorithms are proposed to so l ve systems of a l gebraic equations generated by a discretization procedure of the weak formu l ation of boundary va l ue prob l ems for systems of non l inear e ll iptic equations. The first a l gorithm, Newton-CG-MG, is suitab l e for systems with gradient mappings, whi l e the second, Newton-CE-MG, can be app l ied to more genera l systems. Convergence theorems are proved and app l ication to the semiconductor device mode ll ing is described.
期刊介绍：
Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering.
The main topics covered include:
- Mechanics of Solids;
- Fluid Mechanics;
- Electrical Engineering;
- Solutions of Differential and Integral Equations;
- Mathematical Physics;
- Optimization;
- Probability
Mathematical Statistics.
The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.
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