Jure Ravnik (Avtor), Leopold Škerget (Avtor), Zoran Žunič (Avtor)

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 and variable thresholding limit, is used. Both methods are tested and compared by solving the scalar Poisson equation and the velocity-vorticity vector kinematics equation. The results show comparable accuracy for both methods for a given data storage size. Wavelets are somewhat better for high and low compression ratios, and the fast multipole methods gives better results for moderate compressions. Considering implementation of the methods, the wavelet transform can easily be adapted for any problem, while the fast multipole method requires different expansion for each integral kernel.

Ključne besede

valčki;metoda hitrih multipolov;Poissonova enačba;metoda robnih elementov;wavelets;fast multipole method;Poisson equation;BEM;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UM FS - Fakulteta za strojništvo
UDK: 532
COBISS: 13062678 Povezava se bo odprla v novem oknu
ISSN: 0045-7825
Št. ogledov: 1818
Št. prenosov: 88
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Angleški jezik
Sekundarne ključne besede: valčki;metoda hitrih multipolov;Poissonova enačba;metoda robnih elementov;
URN: URN:SI:UM:
Strani: str. 1473-1485
Letnik: ǂVol. ǂ198
Zvezek: ǂiss. ǂ17/20
Čas izdaje: Apr. 2009
DOI: 10.1016/j.cma.2008.12.012
ID: 8716236