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A fictitious domain approach with distributed Lagrange multiplier for fluid-structure interactions (1510.06856v2)
Published 23 Oct 2015 in math.NA
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.
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