The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions

作     者：Wenbin Chen Jin Cheng Masahiro Yamamoto Weili Zhang 

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.