An Iterative Domain Decomposition Algorithm for the Grad(div) Operator
E. Ahusborde 1, M. Azaiez 1, M. O. Deville 2, E. H. Mund 3*1 TREFLE, (UMR CNRS 8505), Ecole Nationale Superieure de Chimie et de Physique de Bordeaux, Pessac, France.
2 Laboratory of Computational Engineering, Ecole Polytechnique Federale de Lausanne, 1015 Lausanne, Switzerland.
3 Unite de Thermodynamique, UCL, 1348 Louvain-La-Neuve, Belgium.
Received 16 July 2007; Accepted (in revised version) 8 January 2008
Available online 1 August 2008
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-Poincare operator, and we illustrate the performance of technique through some numerical experiments.AMS subject classifications: 65N55, 65F10
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Key words: Domain decomposition, grad(div) operator, stable approximation, iterative substructuring method, Steklov-Poincare operator.
Email: email@example.com (E. Ahusborde), firstname.lastname@example.org (M. Azaiez), Michel.Deville@epfl.ch (M. O. Deville), email@example.com (E. H. Mund)