The Finite Element Immersed Boundary Method with Distributed Lagrange multiplier
arXiv:1407.518482 citationsh-index: 35
Originality Incremental advance
AI Analysis
This provides a theoretical stability guarantee for immersed boundary simulations, which is important for computational fluid-structure interaction problems.
The authors propose a new finite element immersed boundary method using a distributed Lagrange multiplier and prove that a semi-implicit time discretization is unconditionally stable, removing time step restrictions.
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.