Semidiscrete finite element approximations of a linear fluid-structure interaction problem

Q. Du, M. D. Gunzburger, L. S. Hou, J. Lee

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Semidiscrete finite element approximations of a linear fluid-structure interaction problem are studied. First, results concerning a divergence-free weak formulation of the interaction problem are reviewed. Next, semidiscrete finite element approximations are defined, and the existence of finite element solutions is proved with the help of an auxiliary, discretely divergence-free formulation. A discrete inf-sup condition is verified, and the existence of a finite element pressure is established. Strong a priori estimates for the finite element solutions are also derived. Then, by passing to the limit in the finite element approximations, the existence of a strong solution is demonstrated and semidiscrete error estimates are obtained.

Original languageEnglish
Pages (from-to)1-29
Number of pages29
JournalSIAM Journal on Numerical Analysis
Volume42
Issue number1
DOIs
Publication statusPublished - 2004 Dec 1

Fingerprint

Fluid structure interaction
Finite Element Approximation
Divergence-free
Finite Element Solution
Fluid
Interaction
Inf-sup Condition
Weak Formulation
Strong Solution
A Priori Estimates
Error Estimates
Finite Element
Formulation

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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Semidiscrete finite element approximations of a linear fluid-structure interaction problem. / Du, Q.; Gunzburger, M. D.; Hou, L. S.; Lee, J.

In: SIAM Journal on Numerical Analysis, Vol. 42, No. 1, 01.12.2004, p. 1-29.

Research output: Contribution to journalArticle

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