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Volume 8, Issue 3
The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions

Wenbin Chen, Jin Cheng, Masahiro Yamamoto & Weili Zhang

DOI: 10.4208/cicp.150609.031209a

Commun. Comput. Phys., 8 (2010), pp. 642-662.

Published online: 2010-08

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  • Abstract

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.

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@Article{CiCP-8-642, author = {Wenbin Chen, Jin Cheng, Masahiro Yamamoto and Weili Zhang}, title = {The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {3}, pages = {642--662}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.150609.031209a}, url = {http://global-sci.org/intro/article_detail/cicp/7589.html} }
TY - JOUR T1 - The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions AU - Wenbin Chen, Jin Cheng, Masahiro Yamamoto & Weili Zhang 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.

Wenbin Chen, Jin Cheng, Masahiro Yamamoto and Weili Zhang. (2010). The Monotone Robin-Robin Domain Decomposition Methods for the Elliptic Problems with Stefan-Boltzmann Conditions. Communications in Computational Physics. 8 (3). 642-662. doi:10.4208/cicp.150609.031209a
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