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hp-discontinuous Galerkin method based on local higher order reconstruction

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10327656" target="_blank" >RIV/00216208:11320/16:10327656 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.amc.2016.01.024" target="_blank" >http://dx.doi.org/10.1016/j.amc.2016.01.024</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.amc.2016.01.024" target="_blank" >10.1016/j.amc.2016.01.024</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    hp-discontinuous Galerkin method based on local higher order reconstruction

  • Original language description

    We present a new adaptive higher-order finite element method (hp-FEM) for the solution of boundary value problems formulated in terms of partial differential equations (PDE5). The method does not use any information about the problem to be solved which makes it robust and equation-independent. It employs a higher-order reconstruction scheme over local element patches which makes it faster and easier to parallelize compared to hp-adaptive methods that are based on the solution of a reference problem on a globally hp-refined mesh. The method can be used for the solution of linear as well as nonlinear problems discretized by conforming or non-conforming finite element methods, and it can be combined with arbitrary a posteriori error estimators. The performance of the method is demonstrated by several examples carried out by the discontinuous Galerkin method.

  • 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/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

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

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Applied Mathematics and Computation

  • ISSN

    0096-3003

  • e-ISSN

  • Volume of the periodical

    279

  • Issue of the periodical within the volume

    April

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    17

  • Pages from-to

    219-235

  • UT code for WoS article

    000369692200016

  • EID of the result in the Scopus database

    2-s2.0-84956980847