Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity
نویسندگان
چکیده
منابع مشابه
Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity
Convergence of an approximate method for determining vibrational eigenpairs of an elastic solid containing an incompressible fluid is examined. The field variables are solid displacement and fluid pressure. We show that in suitable Sobolev spaces a variational formulation exists whose solution eigenvalues and eigenfunctions are identified with those of a compact operator. A nonconforming finite...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2000
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-00-01259-x