Radiation boundary conditions for acoustic and elastic wave calculations
1979 (English)In: Communications on Pure and Applied Mathematics, ISSN 0010-3640, E-ISSN 1097-0312, Vol. 32, no 3, 314-358 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
1979. Vol. 32, no 3, 314-358 p.
ACOUSTIC PROPAGATION, BOUNDARY CONDITIONS, BOUNDARY VALUE PROBLEMS, ELASTIC WAVES, RADIATIVE TRANSFER, SOUND WAVES, COMPUTER TECHNIQUES, ERROR ANALYSIS, FAR FIELDS, SEISMOLOGY
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90521DOI: 10.1002/cpa.3160320303OAI: oai:DiVA.org:kth-90521DiVA: diva2:505762
NR 201408052012-02-242012-02-24Bibliographically approved