Finite element and boundary element coupling for fluid-structure interaction [Elektronische Ressource] / Catalina Domínguez García

Finite Element and Boundary ElementCoupling for Fluid-Structure InteractionVon der Fakult¨at Mathematik und Physikder Gottfried Wilhelm Leibniz Universit¨at Hannoverzur Erlangung des Grades einerDoktorin der NaturwissenschaftenDr. rer. nat.genehmigte DissertationvonM. Sc. Catalina Dom´ınguez Garc´ıageboren am 09. Februar 1980 in Cali/Kolumbien2010Referent: Prof. Dr. E. P. Stephan, Leibniz Universit¨at HannoverKorreferent: PD. Dr. M. Maischak, Brunel University, Uxbridge, UKKorreferent: Prof. Dr. G. Hsiao, University of Delaware, USATag der Promotion: 17. Dezember 2009AbstractThis thesis deals with the coupling of finite elements and boundary elements to solve afluid structure interaction problem. We consider a time-harmonic vibration and scatteringproblem for homogeneous, isotropic, elastic solids surrounded by a compressible, inviscidand homogeneous fluid.We present a convergence analysis and implementation of the h-version of the FE/BE cou-pling methods that were introduced by Bielak et al. [6] for the two- and three-dimensionalcase. These methods combine integral equations for the exterior fluid and finite elementmethods for the elastic structure. The eigenvalues of the interior Helmholtz problem inducenon-unique solutions of the integral equations. Therefore we focus on two stable variationalformulations, a symmetric and a non-symmetric formulation. These formulations are stablein the sense that they now providea unique solution.