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Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F14%3A00438696" target="_blank" >RIV/68145535:_____/14:00438696 - isvavai.cz</a>

  • Result on the web

    <a href="http://epubs.siam.org/doi/abs/10.1137/130940268" target="_blank" >http://epubs.siam.org/doi/abs/10.1137/130940268</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1137/130940268" target="_blank" >10.1137/130940268</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality

  • Original language description

    This paper is devoted to the streamline diffusion finite element method, combined with equivalent preconditioning, for solving convection-dominated elliptic problems. The preconditioner is obtained from the streamline diffusion inner product. It is proved that the obtained convergence is robust, i.e., bounded independently of the perturbation parameter $/varepsilon$, for proper convection vector fields. The key to the estimates is an improved streamline Poincaré--Friedrichs inequality.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    SIAM Journal on Numerical Analysis

  • ISSN

    0036-1429

  • e-ISSN

  • Volume of the periodical

    52

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    20

  • Pages from-to

    2957-2976

  • UT code for WoS article

  • EID of the result in the Scopus database