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A time-dependent FEM-BEM coupling method for fluid-structure interaction in \(3d\). (English) Zbl 1460.74079

A FEM-BEM coupling method for fluid-structure interaction is considered in the time domain. The well-posedness and a priori error estimates of this method are investigated. A Galerkin boundary element method is used in the time domain, this method is coupled to a finite element method for the Lamé equation inside the elastic body. To solve the numerically interface problem, the Poincaré-Steklov operator is used. The Poincaré-Steklov operator is expressed in terms of layer potentials for the wave equation. Numerical experiments illustrate the performance of proposed scheme for model problems.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74S15 Boundary element methods applied to problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74J05 Linear waves in solid mechanics
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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