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.
Original language | English (US) |
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Pages (from-to) | 2584-2604 |
Number of pages | 21 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 53 |
Issue number | 6 |
DOIs | |
State | Published - Jan 1 2015 |
Externally published | Yes |