An Analysis of Higher Order Boundary Conditions for the Wave Equation. - Inria - Institut national de recherche en sciences et technologies du numérique
Reports (Research Report) Year : 2003

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

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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Dates and versions

inria-00071617 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071617 , version 1

Cite

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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