A fictitious domain approach with distributed Lagrange multiplier for fluid-structure interactions
Abstract
We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The time discretization of the problem leads to a mixed problem for which a rigorous stability analysis is provided. The finite element space discretization is discussed and optimal convergence estimates are proved.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2015
- DOI:
- arXiv:
- arXiv:1510.06856
- Bibcode:
- 2015arXiv151006856B
- Keywords:
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- Mathematics - Numerical Analysis
- E-Print:
- This is a modified version with respect to the published one. It contains complete proofs of the statements of Sections 4 and 5. The published version has correct statements but incomplete proofs