Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity
type: Item
instance of: scholarly article
zbMATH Open document ID: 0969.65103
DOI: 10.1090/S0025-5718-00-01259-X
author: Pat Ryan
published in: Mathematics of Computation
publication date: 2001-02-19T00:00:00Z
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 1566114
zbMATH Keywords: hydroelasticity
zbMATH Keywords: finite element
zbMATH Keywords: eigenvalue
zbMATH Keywords: error estimates
zbMATH Keywords: convergence
zbMATH Keywords: vibrational eigenpairs
zbMATH Keywords: elastic solid
zbMATH Keywords: eigenfunctions
MaRDI profile type: Publication
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title: Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity
review text: The author examines the convergence of an approximate method for determining vibrational eigenpairs of an elastic solid containing an incompressible fluid. (The field variables are solid displacement and fluid pressure.) He shows that in a suitable Sobolev space a variational formulation exists whose solution eigenvalues and eigenfunctions are identified with those of a compact operator, describes a nonconforming finite element approximation of this variational problem, and obtains optimal a priori error estimates for both the eigenvalues and eigenfunctions.
reviewed by: Ziwen Jiang
description: scientific article