A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis
- 1 November 1983
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 19 (11) , 1593-1619
- https://doi.org/10.1002/nme.1620191103
Abstract
This is a paper presented in two parts dealing respectively with error analysis and adaptive processes applied to finite element calculations. Part I contains the basic theory and methods of deriving error estimates for second‐order problems. Part II of the paper deals with the strategy for adaptive refinement and concentrates on the p‐convergent methods. It is shown that an extremely high rate of convergence is reached in practical problems using such procedures. Applications to realistic stress analysis and potential problems are presented.Keywords
This publication has 5 references indexed in Scilit:
- A posteriori error analysis and adaptive processes in the finite element method: Part II—adaptive mesh refinementInternational Journal for Numerical Methods in Engineering, 1983
- A-posteriori Error Estimation for the Finite Element MethodPublished by Springer Nature ,1981
- Adaptive approximations in finite element structural analysisComputers & Structures, 1979
- Adaptive approaches and reliability estimations in finite element analysisComputer Methods in Applied Mechanics and Engineering, 1979
- A‐posteriori error estimates for the finite element methodInternational Journal for Numerical Methods in Engineering, 1978