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Symmetric finite element and boundary integral coupling methods for fluid-solid interaction. (English) Zbl 0731.76043

A theoretical investigation of the formulation for a numerical procedure for the interaction of an inhomogeneous body with a compressible inviscid homogeneous fluid is presented. For the fluid part a boundary integral method is applied, for the body a Galerkin method is used. The coupling conditions then lead to a problem that must be solved only for the body.

MSC:

76M15 Boundary element methods applied to problems in fluid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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