Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity (Q2701546): Difference between revisions
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Eigenvalue and eigenfunction error estimates for finite element | Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity | ||
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| Property / title: Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity (English) / rank | |||
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Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity (English) | |||
| Property / title: Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity (English) / rank | |||
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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. | |||
| Property / 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. / rank | |||
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| Property / reviewed by | |||
| Property / reviewed by: Ziwen Jiang / rank | |||
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Latest revision as of 14:29, 10 April 2025
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity |
scientific article |
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19 February 2001
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hydroelasticity
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finite element
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eigenvalue
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error estimates
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convergence
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vibrational eigenpairs
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elastic solid
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eigenfunctions
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Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity (English)
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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.
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