The Finite Element Immersed Boundary Method with Distributed Lagrange multiplier

Published 19 Jul 2014 in math.NA | (1407.5184v2)

Abstract: We introduce a new formulation for the finite element immersed boundary method which makes use of a distributed Lagrange multiplier. We prove that a full discretization of our model, based on a semi-implicit time advancing scheme, is unconditionally stable with respect to the time step size.

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