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 

机构地区：[1]School of Mathematical Sciences and Key Laboratory of Computational Physics(MOE),Fudan University,Shanghai,200433,China [2]Shanghai Key Laboratory of Intelligent Information Processing,Fudan University,Shanghai,200433,China [3]Department of Mathematical Sciences,University of Tokyo,Tokyo,153-8914,Japan

出　　处：《Communications in Computational Physics》2010年第8期642-662,共21页计算物理通讯（英文）

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.

摘　　要：This paper is concerned with the elliptic problems with nonlinear StefanBoltzmann boundary condition.By combining with the monotone method,the RobinRobin domain decomposition methods are proposed to decouple the nonlinear interface and boundary condition.The monotone properties are verified for both the multiplicative and the additive domain decomposition methods.The numerical results confirm the theoretical analysis.

关 键 词：Nonlinear Stefan-Boltzmann condition monotone methods Robin-Robin domain decomposition method 

分 类 号：O17[理学—数学]