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RTIN-based strategies for local mesh refinement

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F21%3A00542831" target="_blank" >RIV/68145535:_____/21:00542831 - isvavai.cz</a>

  • Result on the web

    <a href="https://dml.cz/handle/10338.dmlcz/703101" target="_blank" >https://dml.cz/handle/10338.dmlcz/703101</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.21136/panm.2020.06" target="_blank" >10.21136/panm.2020.06</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    RTIN-based strategies for local mesh refinement

  • Original language description

    Longest-edge bisection algorithms are often used for local mesh refinements within the finite element method in 2D. In this paper, we discuss and describe their conforming variant. A particular attention is devoted to the so-called Right-Triangulated Irregular Network (RTIN) based on isosceles right triangles and its tranformation to more general domains. We suggest to combine RTIN with a balanced quadrant tree (QuadTree) decomposition. This combination does not produce hanging nodes within the mesh refinements and could be extended to tetrahedral meshes in 3D.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA19-11441S" target="_blank" >GA19-11441S: Efficient and reliable computational techniques for limit analysis and incremental methods in geotechnical stability</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • 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 20

  • ISBN

    978-80-85823-71-4

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    59-68

  • Publisher name

    Matematický ústav AV ČR, v. v. i.

  • Place of publication

    Praha

  • Event location

    Hejnice

  • Event date

    Jun 21, 2020

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article

    000672803500006