Immersed boundary method: Performance analysis of popular finite element spaces

Daniele Boffi, Nicola Cavallini, Francesca Gardini, Lucia Gastaldi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations


The aim of this paper is to understand the performances of different finite elements in the space discretization of the Finite Element Immersed Boundary Method. In this exploration we will analyze two popular solution spaces: Hood-Taylor and Bercovier-Pironneau (P1-iso-P2). Immersed boundary solution is characterized by pressure discontinuities at fluid structure interface. Due to such a discontinuity a natural enrichment choice is to add piecewise constant functions to the pressure space. Results show that P 1 + P 0 pressure spaces are a significant cure for the well known "boundary leakage" affecting IBM. Convergence analysis is performed, showing how the discontinuity in the pressure is affecting the convergence rate for our finite element approximation.
Original languageEnglish (US)
Title of host publicationProceedings of the 4th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2011
Number of pages12
StatePublished - Dec 1 2011
Externally publishedYes

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