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An Analysis of Higher Order Boundary Conditions for the Wave Equation.

Julien Diaz 1 Patrick Joly 1
1 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
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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Submitted on : Tuesday, May 23, 2006 - 6:17:57 PM
Last modification on : Friday, December 3, 2021 - 11:34:05 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:29:19 PM


  • HAL Id : inria-00071617, version 1



Julien Diaz, Patrick Joly. An Analysis of Higher Order Boundary Conditions for the Wave Equation.. [Research Report] RR-4962, INRIA. 2003. ⟨inria-00071617⟩



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