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Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F08%3A00315056" target="_blank" >RIV/61388998:_____/08:00315056 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21230/08:03147430

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Arbitrary-Level Hanging Nodes and Automatic Adaptivity in the hp-FEM

  • Original language description

    In this paper we present a new automatic adaptivity algorithm for the hp-FEM which is based on arbitrary-level hanging nodes and local element projections. The method is very simple to implement compared to other existing hp-adaptive strategies, while its performance is comparable or superior. This is demonstrated on several numerical examples which include the L-shape domain problem, a problem with internal layer, and the Girkmann problem of linear elasticity. With appropriate simplifications, the proposed technique can be applied to standard lower-order and spectral finite element methods.

  • Czech name

    Visící uzly libovolného řádu a automatická adaptivita v hp-FEM

  • Czech description

    V článku je popsán nový algoritmus adaptivity v hp-FEM, jenž je založen na visících uzlech libovolného řádu a lokální projekci elementů. Metodika je demonstrována na několika numerických příkladech a je prokázáno, že za určitých zjednodušení ji lze aplikovat v i případě metod konečných prvků nízkých řádů a metod spektrálních.

Classification

  • Type

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

  • CEP classification

    JA - Electronics and optoelectronics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • 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

    2008

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematics and Computers in Simulation

  • ISSN

    0378-4754

  • e-ISSN

  • Volume of the periodical

    77

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    16

  • Pages from-to

  • UT code for WoS article

    000253496400012

  • EID of the result in the Scopus database