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.
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Contributor : Frédéric Magoulès <>
Submitted on : Wednesday, February 14, 2018 - 9:04:34 AM
Last modification on : Thursday, March 7, 2019 - 3:30:05 PM

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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⟩

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