Convergence of a Finite Element Method for the Approximation of Normal Modes of the Oceans

DOI10.2307/2006292zbMath0431.65066OpenAlexW4250170395MaRDI QIDQ3868705

Mitchell Luskin

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006292

zbMATH Keywords

Galerkin methodfinite element approachRayleigh-Ritz methodmultiple eigenvaluesapproximate eigenvaluesunbounded self-adjoint operatorLaplace's tidal equationshyperbolic differential systemhomogeneous ocean in free motion

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (3)

Approximation of the Spectrum of Closed Operators: The Determination of Normal Modes of a Rotating Basin ⋮ Some response characteristics of finite-element tidal models ⋮ Error bounds for an isolated eigenvalue obtained by the Galerkin method

Cites Work

• Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan
• A Finite Element Method for First-Order Hyperbolic Systems
• Approximation of the Spectrum of Closed Operators: The Determination of Normal Modes of a Rotating Basin
• Interior Estimates for Ritz-Galerkin Methods
• Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
• Spectral Approximation for Compact Operators
• On spectral approximation. Part 1. The problem of convergence
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