Multi-scale methods for wave propagation in heterogeneous media
2011 (English)In: Communications in Mathematical Sciences, ISSN 1539-6746, E-ISSN 1945-0796, Vol. 9, no 1, 33-56 p.Article in journal (Refereed) Published
Multi-scale wave propagation problems are computationally costly to solve by traditional techniques because the smallest scales must be represented over a domain determined by the largest scales of the problem. We have developed and analyzed new numerical methods for multi-scale wave propagation in the framework of heterogeneous multi-scale method. The numerical methods couple simulations on macro-and micro-scales for problems with rapidly oscillating coefficients. We show that the complexity of the new method is significantly lower than that of traditional techniques with a computational cost that is essentially independent of the micro-scale. A convergence proof is given and numerical results are presented for periodic problems in one, two, and three dimensions. The method is also successfully applied to non-periodic problems and for long time integration where dispersive effects occur.
Place, publisher, year, edition, pages
2011. Vol. 9, no 1, 33-56 p.
Multi-scale, wave propagation, HMM, homogenization
IdentifiersURN: urn:nbn:se:kth:diva-27092ISI: 000283985900002ScopusID: 2-s2.0-78049260965OAI: oai:DiVA.org:kth-27092DiVA: diva2:376044
FunderSwedish e‐Science Research Center
QC 201012092010-12-092010-12-062012-05-23Bibliographically approved