About: Adaptive wavelet methods - Matrix-vector multiplication

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4771823
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. (en)
Title	Adaptive wavelet methods - Matrix-vector multiplication Adaptive wavelet methods - Matrix-vector multiplication (en)
skos:prefLabel	Adaptive wavelet methods - Matrix-vector multiplication Adaptive wavelet methods - Matrix-vector multiplication (en)
skos:notation	RIV/46747885:24510/12:#0001008!RIV14-MSM-24510___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(1M06047)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Černá, Dana Finěk, Václav
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Technická univerzita v Liberci / Fakulta přírodovědně-humanitní a pedagogická
http://linked.open...dnocenehoVysledku	121065
http://linked.open...ai/riv/idVysledku	RIV/46747885:24510/12:#0001008
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Adaptive methods; wavelet; elliptic partial differential equations; matrix-vector multiplication (en)
http://linked.open.../riv/klicoveSlovo	wavelet Adaptive methods elliptic partial differential equations matrix-vector multiplication
http://linked.open...ontrolniKodProRIV	[E7977B7AB76C]
http://linked.open...v/mistoKonaniAkce	Rhodes, GREECE
http://linked.open...i/riv/mistoVydani	MELVILLE, NY 11747-4501 USA
http://linked.open...i/riv/nazevZdroje	INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009 (ICCMSE 2009)
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Research Center for Quality and Reliability of Production
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Finěk, Václav Černá, Dana
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	317113600125
http://linked.open.../riv/zahajeniAkce	2009-09-09 (xsd:date)
issn	0094-243X
number of pages	5 (xsd:int)
http://bibframe.org/vocab/doi	10.1063/1.4771823
http://purl.org/ne...btex#hasPublisher	AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
http://localhost/t...ganizacniJednotka	24510

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