Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations.
type: Item
instance of: scholarly article
title: Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations.
zbMATH Open document ID: 1313.35233
author: Markus Stammberger
author: H. Voss
published in: Applications of Mathematics
publication date: 2014-09-19T00:00:00Z
full work available at URL: http://hdl.handle.net/10338.dmlcz/143592
review text: The paper deals with a non-symmetric eigenvalue problem governing elastoacoustic vibrations. Based on a Rayleigh-type principle, the authors show that the eigenvalues of the problem can be characterized by variational principles like in the known symmetric case.
reviewed by: Petru A. Cojuhari
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 65N25
zbMATH DE Number: 6346368
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: fluid-solid vibration
zbMATH Keywords: variational characterization
zbMATH Keywords: min-max principle
zbMATH Keywords: max-min principle
MaRDI profile type: Publication
OpenAlex ID: W2086890829
cites work: A posteriori error estimates and a local refinement strategy for a finite element method to solve structural-acoustic vibration problems
cites work: Q3126801
cites work: Fluid-structure interaction
cites work: Approximation of a structural acoustic vibration problem by hexahedral finite elements
cites work: Analysis of a finite element method for pressure/potential formulation of elastoacoustic spectral problems
cites work: Substructure variational analysis of the vibrations of coupled fluid-structure systems. Finite element results
cites work: Analysis of fluid-structure interactions. a direct symmetric coupled formulation based on the fluid velocity potential
cites work: The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
cites work: On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures
cites work: Automated multi-level sub-structuring for fluid-solid interaction problems.
DOI: 10.1007/S10492-014-0037-7
description: scientific article; zbMATH DE number 6346368