应用吸收马尔可夫链求解非齐次区域泊松方程

Proceedings. IEEE SoutheastCon 2001 (Cat. No.01CH37208) Pub Date : 2001-03-30 DOI:10.1109/SECON.2001.923108

R. Garcia, M. Sadiku, Keming Gu

{"title":"应用吸收马尔可夫链求解非齐次区域泊松方程","authors":"R. Garcia, M. Sadiku, Keming Gu","doi":"10.1109/SECON.2001.923108","DOIUrl":null,"url":null,"abstract":"Monte Carlo methods are generally known for solving field problems one point at a time unlike other numerical methods such as the finite difference and finite element methods which provide simultaneously the solution at all of the grid nodes. This work presents an absorbing Markov chain method to solve Poisson's equation with Dirichlet boundary conditions for intractable inhomogeneous problems.","PeriodicalId":368157,"journal":{"name":"Proceedings. IEEE SoutheastCon 2001 (Cat. No.01CH37208)","volume":"30 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Applying absorbing Markov chains to solve Poisson's equation in inhomogeneous regions\",\"authors\":\"R. Garcia, M. Sadiku, Keming Gu\",\"doi\":\"10.1109/SECON.2001.923108\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Monte Carlo methods are generally known for solving field problems one point at a time unlike other numerical methods such as the finite difference and finite element methods which provide simultaneously the solution at all of the grid nodes. This work presents an absorbing Markov chain method to solve Poisson's equation with Dirichlet boundary conditions for intractable inhomogeneous problems.\",\"PeriodicalId\":368157,\"journal\":{\"name\":\"Proceedings. IEEE SoutheastCon 2001 (Cat. No.01CH37208)\",\"volume\":\"30 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-03-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. IEEE SoutheastCon 2001 (Cat. No.01CH37208)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SECON.2001.923108\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. IEEE SoutheastCon 2001 (Cat. No.01CH37208)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SECON.2001.923108","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 4

摘要

蒙特卡罗方法通常以每次解决一个点的现场问题而闻名，而不像其他数值方法，如有限差分法和有限元法，它们同时提供所有网格节点的解决方案。本文提出了一种具有Dirichlet边界条件的吸收式马尔可夫链法求解难解非齐次问题泊松方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Applying absorbing Markov chains to solve Poisson's equation in inhomogeneous regions

Monte Carlo methods are generally known for solving field problems one point at a time unlike other numerical methods such as the finite difference and finite element methods which provide simultaneously the solution at all of the grid nodes. This work presents an absorbing Markov chain method to solve Poisson's equation with Dirichlet boundary conditions for intractable inhomogeneous problems.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings. IEEE SoutheastCon 2001 (Cat. No.01CH37208)

自引率

0.00%

发文量