A STUDY OF MESH OPTIMALITY CRITERIA IN ADAPTIVE FINITE ELEMENT ANALYSIS
- 1 April 1993
- journal article
- review article
- Published by Emerald Publishing in Engineering Computations
- Vol. 10 (4) , 307-321
- https://doi.org/10.1108/eb023910
Abstract
The concepts of solution error and optimal mesh in adaptive finite element analysis are revisited. It is shown that the correct evaluation of the convergence rate of the error norms involved in the error measure and the optimal mesh criteria chosen are essential to avoid oscillations in the refinement process. Two mesh optimality criteria based on: (a) the equal distribution of global error, and (b) the specific error over the elements are studied and compared in detail through some examples of application.Keywords
This publication has 8 references indexed in Scilit:
- The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery techniqueInternational Journal for Numerical Methods in Engineering, 1992
- The three R's of engineering analysis and error estimation and adaptivityComputer Methods in Applied Mechanics and Engineering, 1990
- Edge effects in Mindlin—Reissner plates using adaptive mesh refinementEngineering Computations, 1990
- Error estimation and adaptivity in Navier-Stokes incompressible flowsComputational Mechanics, 1990
- Error estimates and adaptive refinement for plate bending problemsInternational Journal for Numerical Methods in Engineering, 1989
- Effective and practical h–p‐version adaptive analysis procedures for the finite element methodInternational Journal for Numerical Methods in Engineering, 1989
- Adaptive techniques in the finite element methodCommunications in Applied Numerical Methods, 1988
- A simple error estimator and adaptive procedure for practical engineerng analysisInternational Journal for Numerical Methods in Engineering, 1987