LocModFE: Locally modified finite elements for approximating interface problems in deal.II[Formula presented]

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External Research Organisations

  • University of Konstanz
  • Otto-von-Guericke University Magdeburg
  • Interdisciplinary Center for Scientific Computing (IWR)
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Original languageEnglish
Article number100070
JournalSoftware Impacts
Volume8
Early online date31 Mar 2021
Publication statusPublished - May 2021

Abstract

We describe the Software package LocModFE, which is an implementation of a locally modified finite element method for an accurate solution of interface problems. The code was originally developed in the finite element library Gascoigne 3d and has now been rewritten in the widerspread library deal.II. This makes the concept of locally modified finite elements accessible to many users all over the world. Applications range from simple Poisson interface problems over multi-phase flows to complex multi-physics problems, such as fluid–structure interactions. Being based on deal.II, it provides plenty of possibilities for future extensions, e.g., parallel computing, multigrid solvers or mesh adaptivity.

Keywords

    C++, Deal.II, Fitted finite elements, Interface problems, Locally modified finite elements

ASJC Scopus subject areas

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LocModFE: Locally modified finite elements for approximating interface problems in deal.II[Formula presented]. / Frei, Stefan; Richter, Thomas; Wick, Thomas.
In: Software Impacts, Vol. 8, 100070, 05.2021.

Research output: Contribution to journalArticleResearchpeer review

Frei S, Richter T, Wick T. LocModFE: Locally modified finite elements for approximating interface problems in deal.II[Formula presented]. Software Impacts. 2021 May;8:100070. Epub 2021 Mar 31. doi: 10.1016/j.simpa.2021.100070
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