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Journal Articles Journal of Computational and Applied Mathematics Year : 2018

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

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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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Dates and versions

hal-01708720 , version 1 (09-07-2019)

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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, 2018, 340, pp.424-431. ⟨10.1016/j.cam.2018.01.029⟩. ⟨hal-01708720⟩
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