ERROR ESTIMATION OF EIGENFREQUENCIES FOR ELASTICITY AND SHELL PROBLEMS

DOI10.1142/S0218202503002520zbMath1058.74081MaRDI QIDQ3043538

Mark E. Botkin, T. A. Westermann, J. Tinsley Oden, Jon M. Bass, Serge Prudhomme

Publication date: 6 August 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

goal-oriented error estimation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Shells (74K25) Error bounds for boundary value problems involving PDEs (65N15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

A posteriori error estimation for acoustic wave propagation problems ⋮ On some \(hp\)-adaptive finite element method for natural vibrations ⋮ Computable upper and lower bounds on eigenfrequencies ⋮ An Introductory Review on A Posteriori Error Estimation in Finite Element Computations ⋮ A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem ⋮ Immersed Finite Element Method for Eigenvalue Problems in Elasticity ⋮ Estimating spatial and parameter error in parameterized nonlinear reaction–diffusion equations ⋮ A posteriori error estimators for convection-diffusion eigenvalue problems ⋮ Computation of single eigenfrequencies and eigenfunctions of plate and shell structures using an \(h\)-adaptive FE method ⋮ Explicit a posteriori error estimates for eigenvalue analysis of heterogeneous elastic structures

Cites Work

• Estimation of modeling error in computational mechanics.
• A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem
• Bounds evaluation for outputs of eigenvalue problems approximated by the overlapping modal synthesis method
• Goal-oriented error estimation and adaptivity for the finite element method

This page was built for publication: ERROR ESTIMATION OF EIGENFREQUENCIES FOR ELASTICITY AND SHELL PROBLEMS