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Description
  • Článek se zabývá rychlým řešením velkých sedlobodových soustav vznikajících při wavelet-Galerkinově diskretizaci separabilních eliptických PDR, kde se používají periodizované ortonormální wavelety s kompaktním nosičem typu tensorového součinu a metoda fiktivní oblasti. Speciální struktura matic umožňuje použít rychlou Fourierovu transformaci, což určující pro složitost algoritmu. Numerické experimenty potvrzují teoretické výsledky. (cs)
  • The paper deals with fast solution 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 makes possible to use the fast Fourier transform that determines the complexity of the algorithm. Numerical experiments confirm theoretical results.
  • The paper deals with fast solution 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 makes possible to use the fast Fourier transform that determines the complexity of the algorithm. Numerical experiments confirm theoretical results. (en)
Title
  • Rychlá metoda řešení sedlobodových soustav lineárních rovnic se singulárními bloky (cs)
  • A fast method for solving saddle-point linear systems with singular blocks
  • A fast method for solving saddle-point linear systems with singular blocks (en)
skos:prefLabel
  • Rychlá metoda řešení sedlobodových soustav lineárních rovnic se singulárními bloky (cs)
  • A fast method for solving saddle-point linear systems with singular blocks
  • A fast method for solving saddle-point linear systems with singular blocks (en)
skos:notation
  • RIV/61989100:27670/04:00011172!RIV/2005/MSM/276705/N
http://linked.open.../vavai/riv/strany
  • 101;104
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 272400019)
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
  • 552900
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27670/04:00011172
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • wavelet-Galerkin discretization;fictitious domain method;saddle-point systems;conjugate gradient method;circulant matrix;fast Fourier transform;Kronecker product (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [A6A61C894DE4]
http://linked.open...v/mistoKonaniAkce
  • Praha
http://linked.open...i/riv/mistoVydani
  • Ostrava
http://linked.open...i/riv/nazevZdroje
  • Iterative methods, preconditioning and numerical PDEs
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kučera, Radek
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Ústav geoniky AV ČR
https://schema.org/isbn
  • 80-86407-99-3
http://localhost/t...ganizacniJednotka
  • 27670
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