Radiation boundary conditions for the two-dimensional wave equation from a variational principle-Reference-Cited by-同舟云学术

Radiation boundary conditions for the two-dimensional wave equation from a variational principle

Published:1992 Issue:197 Volume:58 Page:73-82
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Broeze Jan,van Daalen Edwin F. G.

Abstract

A variational principle is used to derive a new radiation boundary condition for the two-dimensional wave equation. This boundary condition is obtained from an expression for the local energy flux velocity on the boundary in normal direction. The wellposedness of the wave equation with this boundary condition is analyzed by investigating the energy of the system. Results obtained with this (nonlinear) boundary condition are compared with those obtained with the (linear) first-order absorbing boundary condition suggested by Higdon. In an accompanying paper the underlying theory is presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1992-58-197/S0025-5718-1992-1106959-5/S0025-5718-1992-1106959-5.pdf

Reference6 articles.

1. Far field boundary conditions for compressible flows;Bayliss, Alvin;J. Comput. Phys.,1982

2. Variational principles and conservation laws in the derivation of radiation boundary conditions for wave equations;van Daalen, Edwin F. G.;Math. Comp.,1992

3. Absorbing boundary conditions for the numerical simulation of waves;Engquist, Bjorn;Math. Comp.,1977

4. Radiation boundary conditions for acoustic and elastic wave calculations;Engquist, Björn;Comm. Pure Appl. Math.,1979

5. Absorbing boundary conditions for difference approximations to the multidimensional wave equation;Higdon, Robert L.;Math. Comp.,1986

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