<p>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 dimensional and for finite and long time. We also analyze the method, in one and several dimensions and for finite time, using Fourier analysis.</p>
| Identifer | oai:union.ndltd.org:UPSALLA/oai:DiVA.org:kth-10511 |
| Date | January 2009 |
| Creators | Holst, Henrik |
| Publisher | KTH, Numerical Analysis, NA |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Licentiate thesis, monograph, text |
| Relation | Trita-CSC-A, 1653-5723 ; 2009:12 |
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