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Analysis of space-time DGFEM for the solution of nonstationary nonlinear convection-diffusion problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10284372" target="_blank" >RIV/00216208:11320/15:10284372 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-10705-9_10" target="_blank" >http://dx.doi.org/10.1007/978-3-319-10705-9_10</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-10705-9_10" target="_blank" >10.1007/978-3-319-10705-9_10</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Analysis of space-time DGFEM for the solution of nonstationary nonlinear convection-diffusion problems

  • Original language description

    The subject of this paper is the analysis of the space-time discontinuous Galerkin method for the solution of nonstationary, nonlinear, convection-diffusion problems. In the formulation of the numerical scheme, the nonsymmetric, symmetric and incompleteversions of the discretization of diffusion terms and interior and boundary penalty are used. Then error estimates derived under a sufficient regularity of the exact solution are briefly characterized. The main attention is paid to the investigation of unconditional stability of the method. An important tool is the concept of the discrete characteristic function. The dominating convection case is not considered. Theoretical results are accompanied by numerical experiments.

  • 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/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Numerical Mathematics and Advanced Applications - ENUMATH 2013

  • ISBN

    978-3-319-10704-2

  • ISSN

  • e-ISSN

  • Number of pages

    9

  • Pages from-to

    105-113

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Lausanne

  • Event date

    Aug 26, 2013

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article