We construct global artificial boundary conditions (ABCs) for the numerical simulation of wave processes on unbounded domains using a special nondeteriorating algorithm that has been developed previously for the long-term computation of waveradiation solutions. The ABCs are obtained directly for the
Boundary conditions for time dependent problems with an artificial boundary
β Scribed by Bertil Gustafsson; Heinz-Otto Kreiss
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 804 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0021-9991
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## Abstract We investigate some classes of eigenvalue dependent boundary value problems of the form equation image where __A__ β __A__^+^ is a symmetric operator or relation in a Krein space __K__, __Ο__ is a matrix function and Ξ~0~, Ξ~1~ are abstract boundary mappings. It is assumed that __A__
of the ordinary differential equation which occurs in the boundary condition. An exact nonreflecting boundary condition was derived previously for use with the time dependent wave equation in three Finally, we shall solve a sequence of scattering problems space dimensions. Here it is shown how to c
A method is proposed to obtain the high-performance artiΓΏcial boundary conditions for solving the time-dependent wave guide problems in an unbounded domain. Using the variable separation method, it is possible to reduce the spatial variables of the wave equation by one. Furthermore, introducing auxi