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AN ANALYSIS OF HIGHER ORDER BOUNDARY CONDITIONS FOR THE WAVE EQUATION

Julien Diaz 1 Patrick Joly 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : Thanks to the use of the Cagniard–De Hoop method, we derive an analytic solution in the time domain for the half-space problem associated with the wave equation with Engquist– Majda higher order boundary conditions. This permits us to derive new convergence results when the order of the boundary condition tends to infinity, as well as error estimates. The theory is illustrated by numerical results.
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https://hal.inria.fr/inria-00409197
Contributor : Julien Diaz <>
Submitted on : Thursday, August 6, 2009 - 2:28:29 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM
Long-term archiving on: : Tuesday, June 15, 2010 - 10:10:55 PM

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Julien Diaz, Patrick Joly. AN ANALYSIS OF HIGHER ORDER BOUNDARY CONDITIONS FOR THE WAVE EQUATION. SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2005, 65 (5), pp.1547-1575. ⟨10.1137/S0036139903436145⟩. ⟨inria-00409197⟩

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