A fictitious domain approach with distributed Lagrange multiplier for fluid-structure interactions
arXiv:1510.06856 · doi:10.1007/s00211-016-0814-1
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.
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
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