Higher-order conformal decomposition FEM (CDFEM)

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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).

Original languageEnglish
Pages (from-to)75-98
Number of pages24
JournalComputer Methods in Applied Mechanics and Engineering
Volume328
DOIs
Publication statusPublished - 1 Jan 2018

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Keywords

  • Embedded domain method
  • Fictitious domain method
  • Higher-order FEM
  • Interface capturing
  • Level-set method
  • XFEM

ASJC Scopus subject areas

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

Fields of Expertise

  • Advanced Materials Science

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