Higher-order conformal decomposition FEM (CDFEM)

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

A higher-order accurate finite element method is proposed which uses automatically generated meshes based on implicit level-set data for the description of boundaries and interfaces in two and three dimensions. The method is an alternative for fictitious domain and extended finite element methods. The domain of interest is immersed in a background mesh composed by higher-order elements. The zero-level sets are identified and meshed followed by a decomposition of the cut background elements into conforming sub-elements. Adaptivity is a crucial ingredient of the method to guarantee the success of the mesh generation. It ensures the successful decomposition of cut elements and enables improved geometry descriptions and approximations. It is confirmed that higher-order accurate results with optimal convergence rates are achieved with the proposed conformal decomposition finite element method (CDFEM).

Originalspracheenglisch
Seiten (von - bis)75-98
Seitenumfang24
FachzeitschriftComputer Methods in Applied Mechanics and Engineering
Jahrgang328
DOIs
PublikationsstatusVeröffentlicht - 1 Jan 2018

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finite element method
Decomposition
decomposition
Finite element method
mesh
Mesh generation
ingredients
Geometry
geometry
approximation

Schlagwörter

    ASJC Scopus subject areas

    • !!Computational Mechanics
    • !!Mechanics of Materials
    • !!Mechanical Engineering
    • !!Physics and Astronomy(all)
    • !!Computer Science Applications

    Fields of Expertise

    • Advanced Materials Science

    Dies zitieren

    Higher-order conformal decomposition FEM (CDFEM). / Fries, T. P.

    in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 328, 01.01.2018, S. 75-98.

    Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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    KW - Fictitious domain method

    KW - Higher-order FEM

    KW - Interface capturing

    KW - Level-set method

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