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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 = {E. Ahusborde, M. Azaïez, M. O. Deville and E. H. Mund}, 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 AU - E. Ahusborde, M. Azaïez, M. O. Deville & E. H. Mund 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 and E. H. Mund. (2009). An Iterative Domain Decomposition Algorithm for the Grad(div) Operator. Communications in Computational Physics. 5 (2-4). 391-397. doi:
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