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Local error estimates for adaptive mesh refinement

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4 Author(s)
Fernandes, P. ; Istituto per la Matematica Applicata, CNR, Genova, Italy ; Girdinio, P. ; Molfino, P. ; Repetto, M.

Five methods for local error estimation in a finite-element solution for adaptive meshing are analyzed. All these methods are a-posteriori, single-solution, element-by-element error estimators. Two are based on the estimation of the first neglected term in the series expansion of the solution, a third is based on the approximate solution of a local boundary-value problem with hierarchical shape functions, and the other two utilize a residual evaluation. All the methods are described and implemented in a common environment, and the results obtained in a simple test case are presented and discussed

Published in:

Magnetics, IEEE Transactions on  (Volume:24 ,  Issue: 1 )

Date of Publication:

Jan 1988

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