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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)
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Title
| - Adaptive wavelet methods - Matrix-vector multiplication
- Adaptive wavelet methods - Matrix-vector multiplication (en)
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skos:prefLabel
| - Adaptive wavelet methods - Matrix-vector multiplication
- Adaptive wavelet methods - Matrix-vector multiplication (en)
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skos:notation
| - RIV/46747885:24510/12:#0001008!RIV14-MSM-24510___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/46747885:24510/12:#0001008
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Adaptive methods; wavelet; elliptic partial differential equations; matrix-vector multiplication (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...v/mistoKonaniAkce
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http://linked.open...i/riv/mistoVydani
| - MELVILLE, NY 11747-4501 USA
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http://linked.open...i/riv/nazevZdroje
| - INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009 (ICCMSE 2009)
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...iv/tvurceVysledku
| - Finěk, Václav
- Černá, Dana
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http://linked.open...vavai/riv/typAkce
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http://linked.open...ain/vavai/riv/wos
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http://linked.open.../riv/zahajeniAkce
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issn
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number of pages
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http://bibframe.org/vocab/doi
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http://purl.org/ne...btex#hasPublisher
| - AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
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http://localhost/t...ganizacniJednotka
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