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.
|Original language||English (US)|
|Number of pages||21|
|Journal||SIAM Journal on Numerical Analysis|
|State||Published - Jan 1 2015|