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Hsiao, George C.; Sayas, Francisco-Javier; Weinacht, Richard J.

Time-dependent fluid-structure interaction. (English) Zbl 1364.35221

Math. Methods Appl. Sci. 40, No. 2, 486-500 (2017).
The authors study a time-dependent direct scattering problem in fluid-structure interaction. In fact they are interested in determining the manner in which an incoming accoustic wave is scattered by an elastic body immersed in a fluid. For this purpose, a coupling procedure which is a combination of a field equation and a boundary integral equation, is applied. More exactly, the problem is reduced to a nonlocal initial-boundary problem in an elastic body with integral equations on the interface between the domains occupied by the elastic body and the fluid. This nonlocal problem is analized by the Lubich approach via the Laplace transform.
Reviewer: Gheorghe Aniculăesei (Iaşi)

Cited in 12 Documents

MSC:

35P25 Scattering theory for PDEs
35L05 Wave equation
45P05 Integral operators
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N38 Boundary element methods for boundary value problems involving PDEs

Keywords:

fluid-structure interaction; coupling procedure; Kirchhoff representation formula; retarded potential; Laplace transform; boundary integral equation; variational formulation; Sobolev space
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References:

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