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Parallel implementation of immersed boundary adaptive FEM or how to avoid mesh generation in a mesh-based method

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00643392" target="_blank" >RIV/67985840:_____/25:00643392 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Parallel implementation of immersed boundary adaptive FEM or how to avoid mesh generation in a mesh-based method

  • Original language description

    Finite element method (FEM) typically relies on computational meshes composed of elements forming a nonoverlapping partition of the computational domain. However, generating these meshes of suffcient quality can be challenging and time-consuming, especially for very complex geometries used, e.g. in 3D printing. As a potential remedy, ideas of the immersed boundary method have been incorporated into FEM. We present a parallel implementation of an immersed boundary adaptive FEM. In order to achieve suffcient resolution at the boundary, local mesh re nement driven towards boundary is used. For large meshes distributed over a large number of processors, the resulting systems have to be solved by parallel iterative solvers. We present the method and demonstrate its performance for a complex problem of linear elasticity with meshes re ned adaptively towards the area with the largest stress for achieving better accuracy within these regions.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA23-06159S" target="_blank" >GA23-06159S: Vortical structures: advanced identification and efficient numerical simulation</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2025

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Vzpomínkové odpoledne a seminář Metoda konečných prvků dnes ke 100. výročí narození profesora Miloše Zlámala

  • ISBN

    978-80-214-6392-9

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    112-117

  • Publisher name

    Vysoké učení technické v Brně, Fakulta strojního inženýrství

  • Place of publication

    Brno

  • Event location

    Brno

  • Event date

    Jan 15, 2025

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article