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Study of Physics-Based preconditioning with High-order Galerkin discretization for hyperbolic wave problems

Abstract : In this article, we detail the construction of a physics-based preconditioner. The Schur decomposition is the key point of the method which is tested on two hyperbolic systems : acoustic wave equations and shallow water equations without source term. Some conserved properties between preconditioner and initial operator are discussed, especially the propagation speeds of a plane wave.
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Submitted on : Wednesday, November 23, 2016 - 3:12:47 PM
Last modification on : Friday, July 8, 2022 - 10:10:43 AM
Long-term archiving on: : Tuesday, March 21, 2017 - 11:01:55 AM

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Clémentine Courtès, Emmanuel Franck, Philippe Helluy, Herbert Oberlin. Study of Physics-Based preconditioning with High-order Galerkin discretization for hyperbolic wave problems. ESAIM: Proceedings and Surveys, EDP Sciences, 2017, ⟨10.1051/proc/201655061⟩. ⟨hal-01401547⟩

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