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.
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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)