The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions
单调罗宾,罗宾域与斯蒂芬 - 玻尔兹曼条件的椭圆问题分解方法作者机构:School of Mathematical Sciences and Key Laboratory of Computational Physics(MOE)Fudan UniversityShanghai200433China Shanghai Key Laboratory of Intelligent Information ProcessingFudan UniversityShanghai200433China Department of Mathematical SciencesUniversity of TokyoTokyo153-8914Japan
出 版 物:《Communications in Computational Physics》 (计算物理通讯(英文))
年 卷 期:2010年第8卷第8期
页 面:642-662页
核心收录:
学科分类:07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学]
基 金:supported by the National Basic Research Program(2005CB321701) 111 project grant(B08018) supported by NSFC Tianyuan Fund for Mathematics(10826105) in part by Shanghai Key Laboratory of Intelligent Information Processing(IIPL-09-003) supported by the Shanghai Natural Science Foundation(07JC14001) supported by the Global COE Program supported in part by National 863 Program of China(2009AA012201) supported in part by Grants-in-Aid for Scientific Research(20654011,21340021)from Japan Society for the Promotion of Science
主 题:Nonlinear Stefan-Boltzmann condition monotone methods Robin-Robin domain decomposition method
摘 要:This paper is concerned with the elliptic problems with nonlinear StefanBoltzmann boundary *** combining with the monotone method,the RobinRobin domain decomposition methods are proposed to decouple the nonlinear interface and boundary *** monotone properties are verified for both the multiplicative and the additive domain decomposition *** numerical results confirm the theoretical analysis.