Numerical Locking Problems for Parabolic Equations

DOI10.1080/01630563.2011.587077zbMath1234.65036OpenAlexW4249013694MaRDI QIDQ3173512

Ana-Maria Moşneagu, Viorel Arnăutu

Publication date: 10 October 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.587077

zbMATH Keywords

convergencenumerical resultsfinite element approximationCrank-Nicolson methodnumerical lockingparabolic modelcurved rod modelstandard implicit scheme

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Unnamed Item
• The problem of membrane locking in finite element analysis of cylindrical shells
• On the locking phenomenon for a class of elliptic problems
• A locking-free approximation of curved rods by straight beam elements
• Numerical Locking Problems for Hyperbolic Equations
• A model of a general elastic curved rod
• A Reduction Approximation Method for Curved Rods
• Optimization Problems for Curved Mechanical Structures
• An analysis of finite element locking in a parameter dependent model problem

This page was built for publication: Numerical Locking Problems for Parabolic Equations