Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation
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An exact nonreflecting boundary condition is derived for solutions of the time dependent wave equation in three space dimensions. It holds on a spherical artificial boundary and is local in time, but nonlocal in space. It can be reduced to a boundary condition local in space and time for solutions consisting of a finite number of spherical harmonics. The boundary condition is related to the Dirichlet-to-Neumann boundary condition for the Helmholtz equation. It can be used in scattering problems as well as in problems involving nonlinearity in a bounded region of space.
[1] Isaac Harari. Computational methods for problems of acoustics with particular reference to exterior domains , 1991 .
[2] D. Givoli. Numerical Methods for Problems in Infinite Domains , 1992 .
[3] Henry A. Warchall. Wave propagation at computational domain boundaries , 1991 .
[4] Dan Givoli,et al. A finite element method for large domains , 1989 .