The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier
The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier
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.