Jezik: | Slovenski jezik |
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Leto izida: | 2009 |
Tipologija: | 1.08 - Objavljeni znanstveni prispevek na konferenci |
Organizacija: | UM FS - Fakulteta za strojništvo |
UDK: | 519.61/.64 |
COBISS: | 13457942 |
Št. ogledov: | 1403 |
Št. prenosov: | 25 |
Ocena: | 0 (0 glasov) |
Metapodatki: |
Sekundarni jezik: | Angleški jezik |
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Sekundarni naslov: | Comparison of wavelet and fast multipole solutions of integral Poisson type equations |
Sekundarni povzetek: | The boundary element method applied on non-homogenous partial differential equations requires calculation of a fully populated matrix of domain integrals. This paper compares two techniques: the fast multipole method and the fast wavelet transform, which are used to reduce the complexity of such domain matrices. The employed fast multipole method utilizes the expansion of integral kernels into series of spherical harmonics. The wavelet transform for vectors of arbitrary length, based on Haar wavelets, is used. Both methods are tested and compared by solving the scalar Poisson equation and the velocity-vorticity vector kinematics equation. The results show that the fast multipole method yields results of higher accuracy at a given data storage size than the wavelet method. On the other hand, the wavelet transform can easily be adapted for any problem, while a different expansion is needed for each integral kernel by the fast multipole method. |
URN: | URN:SI:UM: |
Strani: | Str. 124-131 |
ID: | 8717935 |