Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation
ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 4, pp. 609-644.

We propose a numerical scheme to compute the motion of a two-dimensional rigid body in a viscous fluid. Our method combines the method of characteristics with a finite element approximation to solve an ALE formulation of the problem. We derive error estimates implying the convergence of the scheme.

DOI : 10.1051/m2an:2008020
Classification : 35Q30, 65M12, 76D05, 76M10
Mots-clés : fluid-structure interaction, incompressible Navier-Stokes equations, arbitrary lagrangian eulerian, Lagrange-Galerkin method 
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     title = {Convergence of a {Lagrange-Galerkin} method for a fluid-rigid body system in {ALE} formulation},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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Legendre, Guillaume; Takahashi, Takéo. Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation. ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 4, pp. 609-644. doi : 10.1051/m2an:2008020. http://www.numdam.org/articles/10.1051/m2an:2008020/

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