TY - JOUR T1 - The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions JO - Communications in Computational Physics VL - 3 SP - 642 EP - 662 PY - 2010 DA - 2010/08 SN - 8 DO - http://doi.org/10.4208/cicp.150609.031209a UR - https://global-sci.org/intro/article_detail/cicp/7589.html KW - AB -

This paper is concerned with the elliptic problems with nonlinear Stefan-Boltzmann boundary condition. By combining with the monotone method, the Robin-Robin 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.