About: Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations     Goto   Sponge   NotDistinct   Permalink

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Description
  • Článek se zabývá rychlým řešením rozsáhlých sedlo-bodových soustav, které vznikají při wavelet-Galerkinově diskretizaci separabilních eliptických PDR. Pro diskretizaci úlohy, která vznikne z metody fiktivní oblasti, se používají periodizované ortonormální wavelety s kompaktním nosičem typu tenzorového součinu. Speciální struktura matic pak umožňuje použít rychlou Fourierovu transformaci, která určuje výpočetní složitost algoritmu. Numerické experimenty potvrzují teoretické výsledky. (cs)
  • The paper deals with fast solving of large saddle-point systems arising in wavelet-Galerkin discretizations of separable elliptic PDEs. The periodized orthonormal compactly supported wavelets of the tensor product type together with the fictitious domain method are used. A special structure of matrices make possible to utilize the fast Fourier transform that determines the complexity of the algorithm. Numerical experiments confirm theoretical results.
  • The paper deals with fast solving of large saddle-point systems arising in wavelet-Galerkin discretizations of separable elliptic PDEs. The periodized orthonormal compactly supported wavelets of the tensor product type together with the fictitious domain method are used. A special structure of matrices make possible to utilize the fast Fourier transform that determines the complexity of the algorithm. Numerical experiments confirm theoretical results. (en)
Title
  • Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations
  • Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations (en)
  • Složitost algoritmu pro řešení sedlo-bodových soustav se singulárními bloky vznikajících při wavelet-Galerkinově diskretizaci (cs)
skos:prefLabel
  • Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations
  • Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations (en)
  • Složitost algoritmu pro řešení sedlo-bodových soustav se singulárními bloky vznikajících při wavelet-Galerkinově diskretizaci (cs)
skos:notation
  • RIV/61989100:27640/05:00013254!RIV06-MSM-27640___
http://linked.open.../vavai/riv/strany
  • 291-308
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 272400019)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 516014
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27640/05:00013254
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • wavelet-Galerkin discretization; fictitious domain method; saddle-point systems; conjugate gradient method; circulant matrix (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [6A9F149B7A8A]
http://linked.open...i/riv/nazevZdroje
  • Appl. Math.
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 50
http://linked.open...iv/tvurceVysledku
  • Kučera, Radek
http://linked.open...n/vavai/riv/zamer
issn
  • 0862-7940
number of pages
http://localhost/t...ganizacniJednotka
  • 27640
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