Eigenvalue Approximation by the Finite Element Method: The Method of Lagrange Multipliers

DOI10.2307/2006027zbMath0448.65067OpenAlexW4235497722MaRDI QIDQ3894924

William G. Kolata

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006027

zbMATH Keywords

finite element methodDirichlet boundary conditionseigenvalue approximationmethod of Lagrange multipliersselfadjoint elliptic operatorRayleigh-Ritz-Galerkin approximationestimates for the eigenvalue error

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (2)

Eigenproblems associated with the discrete LBB condition for incompressible finite elements ⋮ A hybrid finite element method to compute the free vibration frequencies of a clamped plate

Cites Work

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• The finite element method with Lagrangian multipliers
• Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
• Spectral Approximation for Compact Operators
• Hybrid Finite Element Methods
• Rayleigh‐Ritz‐Galerkin methods for dirichlet's problem using subspaces without boundary conditions

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