A computational method for the Helmholtz equation in unbounded domains based on the minimization of an integral functional
Journal Article
·
· Journal of Computational Physics
We study a new approach to the problem of transparent boundary conditions for the Helmholtz equation in unbounded domains. Our approach is based on the minimization of an integral functional arising from a volume integral formulation of the radiation condition. The index of refraction does not need to be constant at infinity and may have some angular dependency as well as perturbations. We prove analytical results on the convergence of the approximate solution. Numerical examples for different shapes of the artificial boundary and for non-constant indexes of refraction will be presented.
- OSTI ID:
- 22230775
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 246; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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