An Iterative Domain Decomposition Algorithm for the Grad(div) Operator
Ahusborde, E.;Azaiez, M.;Deville, M. O.;Mund, Ernest
(2009) 7th International Conference on Spectral and High Order Methods — Location: Chinese Acad Sci, Beijing(Peoples R China) (18.June.2007)
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Authors
Ahusborde, E.
Author
Azaiez, M.
Author
Deville, M. O.
Author
Mund, ErnestUCLouvain
Author
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-Poincare operator, and we illustrate the performance of technique through some numerical experiments.
Ahusborde, E., Azaiez, M., Deville, M. O., & Mund, E. (2009). An Iterative Domain Decomposition Algorithm for the Grad(div) Operator. Communications in Computational Physics, 5(2-4), 391-397. https://hdl.handle.net/2078.5/147626 (Original work published 2009)