Existence, uniqueness, and approximation of a fictitious domain formulation for fluid-structure interactions

Daniele Boffi, Lucia Gastaldi

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Abstract

In this paper, we describe a computational model for the simulation of fluidstructure interaction problems based on a fictitious domain approach. We summarize the results presented over the last years when our research evolved from the finite element immersed boundary method (FE-IBM) to the actual finite element distributed Lagrange multiplier (FEDLM) method. We recall the well-posedness of our formulation at the continuous level in a simplified setting. We describe various time semi-discretizations that provide unconditionally stable schemes. Finally, we report the stability analysis for the finite element space discretization, where some improvements and generalizations of the previous results are obtained.
Original languageEnglish (US)
JournalRendiconti Lincei - Matematica e Applicazioni
DOIs
StatePublished - Jun 14 2022

ASJC Scopus subject areas

  • Mathematics(all)

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