Quadrature errors in finite element eigenvalue computations

DOI10.1017/S1446181100011664zbMath0964.65077MaRDI QIDQ4511569

Alan L. Andrew

Publication date: 19 July 2001

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

finite elementSturm-Liouville eigenvalue problemsquadrature rulesmethod of asymptotic correction

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (3)

The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian ⋮ Quadrature finite element method for elliptic eigenvalue problems ⋮ Finite element approximation with numerical integration for differential eigenvalue problems

Cites Work

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• Estimation of the effect of numerical integration in finite element eigenvalue approximation
• Correction of finite element estimates for Sturm-Liouville eigenvalues
• Correction of finite element eigenvalues for problems with natural or periodic boundary conditions
• On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
• A note on the effect of numerical quadrature in finite element eigenvalue approximation
• The combined effect of numerical integration and approximation of the boundary in the finite element method for eigenvalue problems
• Properties of Interpolatory Product Integration Rules
• Analysis of numerical integration in p‐version finite element eigenvalue approximation
• Product-integration rules and their convergence
• The convergence of product integration rules
• On a variational approximation method for a class of elliptic eigenvalue problems in composite structures

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