Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations.

DOI10.1007/S10492-014-0037-7zbMath1313.35233OpenAlexW2086890829MaRDI QIDQ742895

Heinrich Voss, Markus Stammberger

Publication date: 19 September 2014

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143592

zbMATH Keywords

eigenvalue problemvariational characterizationmin-max principlefluid-solid vibrationmax-min principle

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Eigenvalue problems for linear operators (47A75) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (1)

A survey on variational characterizations for nonlinear eigenvalue problems

Cites Work

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• The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
• Approximation of a structural acoustic vibration problem by hexahedral finite elements
• Fluid-structure interaction
• A posteriori error estimates and a local refinement strategy for a finite element method to solve structural-acoustic vibration problems

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