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Adaptive wavelet methods - Matrix-vector multiplication

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230001008" target="_blank" >RIV/46747885:24510/12:#0001008 - isvavai.cz</a>

  • Result on the web

    <a href="http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4771823" target="_blank" >http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4771823</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.4771823" target="_blank" >10.1063/1.4771823</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Adaptive wavelet methods - Matrix-vector multiplication

  • Original language 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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/1M06047" target="_blank" >1M06047: Research Center for Quality and Reliability of Production</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009 (ICCMSE 2009)

  • ISBN

  • ISSN

    0094-243X

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

    832-836

  • Publisher name

    AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA

  • Place of publication

    MELVILLE, NY 11747-4501 USA

  • Event location

    Rhodes, GREECE

  • Event date

    Sep 9, 2009

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    317113600125