A posteriori error estimators in the finite element method |
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| Authors: | Mark Ainsworth Alan Craig |
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| Affiliation: | (1) Department of Mathematics, Lancaster University, School of Engineering Computing and Mathematical Sciences, LA14YF Lancaster, UK;(2) Department of Mathematical Sciences, Durham University, Durham, UK;(3) Present address: Mathematics Department, Leicester University, LE1 7RU Leicester, UK |
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| Abstract: | Summary In the paper we develop a structured approach to thea posteriori estimation of the error in the approximation obtained via the finite element method. This aids the classification of existing estimators as well as allowing new estimators to be proposed for new situations. A class of abstract estimators for finite elements of orderp>1 in ,n=2, 3 based on exploiting the superconvergence phenomenon are analyzed. |
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| Keywords: | 65N30 |
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