Superconvergent recovery based error estimators
| Autor: | J. R. Whiteman, A. M. Lakhany |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Numerical Analysis
General Computer Science Applied Mathematics Mathematical analysis Estimator Superconvergence Poisson distribution Finite element method Projection (linear algebra) Theoretical Computer Science Piecewise linear function symbols.namesake Modeling and Simulation Convergence (routing) symbols Applied mathematics Error detection and correction Mathematics |
| Zdroj: | Mathematics and Computers in Simulation. 50:97-114 |
| ISSN: | 0378-4754 |
| DOI: | 10.1016/s0378-4754(99)00063-4 |
| Popis: | In this paper use is made of the superconvergence property of the recovered derivatives of piecewise linear finite element solutions of Poisson problems to construct efficient and simple to use error estimators which have the desired property of being asymptotically exact on structured triangulations. These error estimators may be classified into two types; viz, the flux projection estimators and the estimators based on interpolation error bounds. A scheme for the adaptive error control based on the refined global local method of Mao and Sun (Int. J. Numer. Methods Eng. 32, 1991) is introduced and supported by means of a numerical experiment. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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