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Optimal error estimates in the DG method for 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%2F09%3A00206376" target="_blank" >RIV/00216208:11320/09:00206376 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Optimal error estimates in the DG method for nonlinear convection-diffusion problems

  • Original language description

    The subject of the paper is the derivation of optimal error estimates for the discontiuous Galerkin space semi-discretization of a convection-diffusion problem with nonlinear convection and diffusion. The analysis is based on a nonlinear variant of the Aubin-Nitsche technique, which uses a linearized dual problem. Handling the nonlinearity requires several important assumptions, such as a high regularity of the exact solution, convexity of the domain and the use of only Dirichlet boundary conditions.

  • 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/GA201%2F08%2F0012" target="_blank" >GA201/08/0012: Qualitative analysis and numerical solution of flow problems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Algoritmy 2009, 18th Conference on Scientific Computing

  • ISBN

    978-80-227-3032-7

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

  • Publisher name

    Slovak University of Technology in Bratislava

  • Place of publication

    Bratislava

  • Event location

    Bratislava

  • Event date

    Jan 1, 2009

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

    000267157200025