Radiation boundary conditions for acoustic and elastic wave calculations
Abstract
A technique for developing radiating boundary conditions for artificial computational boundaries is described and applied to a class of problems typical in exploration seismology involving acoustic and elastic wave equations. First, one considers a constant coefficient scalar wave equation where the artificial boundary is one edge of a rectangular domain. By using continued fraction expansions, a systematic sequence of stable highly absorbing boundary conditions with successively better absorbing properties as the order of the boundary conditions increases is obtained. There follows a systematic derivation of a hierarchy of local radiating boundary conditions for the elastic wave equation. A theoretical procedure to guarantee stability at corners of the rectangular domain is worked out. A technique for fitting the discrete radiating boundary conditions directly to the difference scheme itself is proposed.
- Publication:
-
Communications on Pure and Applied Mathematics
- Pub Date:
- May 1979
- Bibcode:
- 1979CPApM..32..313E
- Keywords:
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- Acoustic Propagation;
- Boundary Conditions;
- Boundary Value Problems;
- Elastic Waves;
- Radiative Transfer;
- Sound Waves;
- Computer Techniques;
- Error Analysis;
- Far Fields;
- Seismology;
- Physics (General)