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A new reconstruction-enhanced discontinuous Galerkin method for time-dependent problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10081011" target="_blank" >RIV/00216208:11320/10:10081011 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A new reconstruction-enhanced discontinuous Galerkin method for time-dependent problems

  • Original language description

    This work is concerned with the introduction of a new numerical scheme based on the discontinuous Galerkin (DG) method. We propose to follow the methodology of higher order finite volume schemes and introduce a reconstruction operator into the DG scheme.This operator constructs higher order piecewise polynomial reconstructions from the lower order DG scheme. Such a procedure was proposed already in Dumbser et al. (2003) based on heuristic arguments, however we provide a rigorous derivation, which justifies the increased order of accuracy. Numerical experiments are carried out.

  • 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)

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Programs and Algorithms of Numerical Mathematics 15

  • ISBN

    978-80-85823-57-8

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

  • Publisher name

    Matematický ústav AV ČR, v.v.i.

  • Place of publication

    Praha

  • Event location

    Dolní Maxov

  • Event date

    Jun 6, 2010

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article