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Statements

Subject Item
n2:RIV%2F46747885%3A24510%2F12%3A%230001008%21RIV14-MSM-24510___
rdf:type
n4:Vysledek skos:Concept
rdfs:seeAlso
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4771823
dcterms:description
The design of most adaptive wavelet methods for elliptic partial differential equations follows a general concept proposed by A. Cohen, W. Dahmen and R. DeVore in [3, 4]. The essential steps are: transformation of the variational formulation into the well-conditioned infinite-dimensional l 2 problem, finding of the convergent iteration process for the l 2 problem and finally derivation of its finite dimensional version which works with an inexact right hand side and approximate matrix-vector multiplications. In our contribution, we shortly review all these parts and wemainly pay attention to approximate matrix-vector multiplications. Effective approximation of matrix-vector multiplications is enabled by an off-diagonal decay of entries of the wavelet stiffness matrix. We propose here a new approach which better utilize actual decay of matrix entries. The design of most adaptive wavelet methods for elliptic partial differential equations follows a general concept proposed by A. Cohen, W. Dahmen and R. DeVore in [3, 4]. The essential steps are: transformation of the variational formulation into the well-conditioned infinite-dimensional l 2 problem, finding of the convergent iteration process for the l 2 problem and finally derivation of its finite dimensional version which works with an inexact right hand side and approximate matrix-vector multiplications. In our contribution, we shortly review all these parts and wemainly pay attention to approximate matrix-vector multiplications. Effective approximation of matrix-vector multiplications is enabled by an off-diagonal decay of entries of the wavelet stiffness matrix. We propose here a new approach which better utilize actual decay of matrix entries.
dcterms:title
Adaptive wavelet methods - Matrix-vector multiplication Adaptive wavelet methods - Matrix-vector multiplication
skos:prefLabel
Adaptive wavelet methods - Matrix-vector multiplication Adaptive wavelet methods - Matrix-vector multiplication
skos:notation
RIV/46747885:24510/12:#0001008!RIV14-MSM-24510___
n4:predkladatel
n15:orjk%3A24510
n5:aktivita
n7:P
n5:aktivity
P(1M06047)
n5:dodaniDat
n13:2014
n5:domaciTvurceVysledku
n11:1173782 n11:3694674
n5:druhVysledku
n20:D
n5:duvernostUdaju
n14:S
n5:entitaPredkladatele
n10:predkladatel
n5:idSjednocenehoVysledku
121065
n5:idVysledku
RIV/46747885:24510/12:#0001008
n5:jazykVysledku
n23:eng
n5:klicovaSlova
Adaptive methods; wavelet; elliptic partial differential equations; matrix-vector multiplication
n5:klicoveSlovo
n19:Adaptive%20methods n19:elliptic%20partial%20differential%20equations n19:wavelet n19:matrix-vector%20multiplication
n5:kontrolniKodProRIV
[E7977B7AB76C]
n5:mistoKonaniAkce
Rhodes, GREECE
n5:mistoVydani
MELVILLE, NY 11747-4501 USA
n5:nazevZdroje
INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009 (ICCMSE 2009)
n5:obor
n9:BA
n5:pocetDomacichTvurcuVysledku
2
n5:pocetTvurcuVysledku
2
n5:projekt
n21:1M06047
n5:rokUplatneniVysledku
n13:2012
n5:tvurceVysledku
Finěk, Václav Černá, Dana
n5:typAkce
n16:WRD
n5:wos
317113600125
n5:zahajeniAkce
2009-09-09+02:00
s:issn
0094-243X
s:numberOfPages
5
n18:doi
10.1063/1.4771823
n17:hasPublisher
AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
n22:organizacniJednotka
24510