Geodesic
Study of Physics-Based preconditioning with High-order Galerkin discretization for hyperbolic wave problems
Clémentine Courtès1 ; Emmanuel Franck2 ; Philippe Helluy2 ; Herbert Oberlin3
1 LMO, Université Paris Sud, Orsay, France
2 INRIA Nancy Grand-Est and IRMA Strasbourg, TONUS Team, France
3 Max-Planck-Institut für Plasmaphysik, Boltzmannstraß e 2D-85748 Garching, Germany
ESAIM. Proceedings, Tome 55 (2016), pp. 61-82.

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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 preconditoner and initial operator are discussed, especially the propagation speeds of a plane wave.
DOI : 10.1051/proc/201655061

Clémentine Courtès 1 ; Emmanuel Franck 2 ; Philippe Helluy 2 ; Herbert Oberlin 3

1 LMO, Université Paris Sud, Orsay, France
2 INRIA Nancy Grand-Est and IRMA Strasbourg, TONUS Team, France
3 Max-Planck-Institut für Plasmaphysik, Boltzmannstraß e 2D-85748 Garching, Germany 
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     title = {Study of {Physics-Based} preconditioning with {High-order} {Galerkin} discretization for hyperbolic wave problems},
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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, Tome 55 (2016), pp. 61-82. doi : 10.1051/proc/201655061. http://geodesic.mathdoc.fr/articles/10.1051/proc/201655061/

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