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arxiv: 1407.5184 · v2 · pith:Z564ZZA7new · submitted 2014-07-19 · 🧮 math.NA · cs.NA

The Finite Element Immersed Boundary Method with Distributed Lagrange multiplier

classification 🧮 math.NA cs.NA
keywords boundarydistributedelementfiniteimmersedlagrangemethodmultiplier
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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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