Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations

Abstract : Complex-valued Helmholtz equations arise in various applications, and a lot of research has been devoted to finding efficient preconditioners for the iterative solution of their discretizations. In this paper we consider the Helmholtz equation rewritten in real-valued block form, and use a preconditioner in a special two-by-two block form. We show that the corresponding preconditioned Krylov iteration converges at a mesh-independent superlinear rate.
Document type :
Journal articles
Complete list of metadatas

Cited literature [20 references]  Display  Hide  Download

https://hal-centralesupelec.archives-ouvertes.fr/hal-01708720
Contributor : Frédéric Magoulès <>
Submitted on : Tuesday, July 9, 2019 - 11:14:31 PM
Last modification on : Wednesday, July 10, 2019 - 2:58:14 PM

File

paper.pdf
Files produced by the author(s)

Identifiers

Citation

Owe Axelsson, János Karátson, Frédéric Magoulès. Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. Journal of Computational and Applied Mathematics, Elsevier, 2018, 340, pp.424-431. ⟨10.1016/j.cam.2018.01.029⟩. ⟨hal-01708720⟩

Share

Metrics

Record views

180

Files downloads

16