Volume 5, Issue 2-4
An Iterative Domain Decomposition Algorithm for the Grad(div) Operator

E. Ahusborde, M. Azaïez, M. O. Deville & E. H. Mund

Commun. Comput. Phys., 5 (2009), pp. 391-397.

Published online: 2009-02

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  • Abstract

This paper describes an iterative solution technique for partial differential equations involving the grad(div) operator, based on a domain decomposition. Iterations are performed to solve the solution on the interface. We identify the transmission relationships through the interface. We relate the approach to a Steklov-Poincaré operator, and we illustrate the performance of technique through some numerical experiments. 

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@Article{CiCP-5-391, author = {}, title = {An Iterative Domain Decomposition Algorithm for the Grad(div) Operator}, journal = {Communications in Computational Physics}, year = {2009}, volume = {5}, number = {2-4}, pages = {391--397}, abstract = {

This paper describes an iterative solution technique for partial differential equations involving the grad(div) operator, based on a domain decomposition. Iterations are performed to solve the solution on the interface. We identify the transmission relationships through the interface. We relate the approach to a Steklov-Poincaré operator, and we illustrate the performance of technique through some numerical experiments. 

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7738.html} }
TY - JOUR T1 - An Iterative Domain Decomposition Algorithm for the Grad(div) Operator JO - Communications in Computational Physics VL - 2-4 SP - 391 EP - 397 PY - 2009 DA - 2009/02 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7738.html KW - AB -

This paper describes an iterative solution technique for partial differential equations involving the grad(div) operator, based on a domain decomposition. Iterations are performed to solve the solution on the interface. We identify the transmission relationships through the interface. We relate the approach to a Steklov-Poincaré operator, and we illustrate the performance of technique through some numerical experiments. 

E. Ahusborde, M. Azaïez, M. O. Deville & E. H. Mund. (2020). An Iterative Domain Decomposition Algorithm for the Grad(div) Operator. Communications in Computational Physics. 5 (2-4). 391-397. doi:
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