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- W2949275738 abstract "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 couples 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." @default.
- W2949275738 created "2019-06-27" @default.
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- W2949275738 date "2009-11-13" @default.
- W2949275738 modified "2023-09-27" @default.
- W2949275738 title "Multi-scale methods for wave propagation in heterogeneous media" @default.
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