A finite element based collocation method for eigenvalue calculations

DOI10.1016/0016-0032(87)90061-5zbMath0639.65061OpenAlexW2050776732MaRDI QIDQ1099938

Nader G. Zamani

Publication date: 1987

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(87)90061-5

zbMATH Keywords

collocation methodnumerical exampleseigenvaluesfinite elementbench mark problemsone-dimensional second and fourth order self-adjoint operatorstwo-dimensional Helmholtz eigenvalue problem

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

Discrete least-squares technique for eigenvalues. I: The one-dimensional case ⋮ A fast algorithm for solving the tensor product collocation equations

Cites Work

• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• A collocation method for boundary value problems
• A Sine-Collocation Method for the Computation of the Eigenvalues of the Radial Schrödinger Equation
• The Performance of the Collocation and Galerkin Methods with Hermite Bi-Cubics
• Approximations and Bounds for Eigenvalues of Elliptic Operators
• The Use of Collocation as a Projection Method for Solving Linear Operator Equations
• Collocation at Gaussian Points
• A Finite Element Collocation Method for Quasilinear Parabolic Equations

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