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An Iterative Domain Decomposition Algorithm for the Grad(div) Operator

An Iterative Domain Decomposition Algorithm for the Grad(div) Operator

Year:    2009

Author:    E. Ahusborde, M. Azaïez, M. O. Deville, E. H. Mund

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 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. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CiCP-7738

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 391–397

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:   

Author Details

E. Ahusborde

M. Azaïez

M. O. Deville

E. H. Mund