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| Title | Speaker |
|---|---|
| Multi-scale methods for wave propagation in heterogeneous media | Henrik Holst |
| Location | Time and Date |
|---|---|
| PDC seminar room, Teknikringen 14, level 3 | 2009-10-14 (Wed) 14.30-15.30 (coffee 14.15) |
| 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
new numerical methods for multi-scale wave propagation in the framework of
heterogeneous multi-scale methods. The numerical methods couples simulations
on macro and micro scales with data exchange between models of different
scales. With the new method we are able to consider a general class of problems including some problems where a homogenized equation is unknown. We show that the complexity of the new method is significantly lower than that of traditional techniques. Numerical results are presented from problems in one, two and three dimensions. We also analyze the method, in one and several dimensions, using Fourier analysis. |
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