Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures

DOI10.1016/j.cma.2006.10.036zbMath1173.74446OpenAlexW2140885487MaRDI QIDQ1033379

G. M. Reese, Ulrich Hetmaniuk, Timothy F. Walsh

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc895763/

zbMATH Keywords

linear elasticitya posteriori error estimationsymmetric generalized eigenvalue problem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Error bounds for boundary value problems involving PDEs (65N15)

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Cites Work

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• Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures
• Adaptive finite element methods for elliptic equations with non-smooth coefficients
• A review of a posteriori error estimation techniques for elasticity problems
• Adaptative finite element analysis for strongly heterogeneous elasticity problems
• ERROR ESTIMATION OF EIGENFREQUENCIES FOR ELASTICITY AND SHELL PROBLEMS
• A Posteriori Error Estimates for the Finite Element Approximation of Eigenvalue Problems
• A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem
• A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
• A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems
• hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation
• The generalized finite element method
• A posteriori error control for finite element approximations of elliptic eigenvalue problems
• On residual-based a posteriori error estimation in hp-FEM
• A posteriori estimators for the FEM: Analysis of the robustness of the estimators for the Poisson equation