On the aposteriori error estimates for finite‐element solutions
The analysis of the accuracy of the aposteriori error estimation procedure for finite‐element solutions is presented. The function Y — y is used as an aposteriori error estimator, here y ∈ S 0 1,Δ is the finite‐element solution of the given problem and Y ∈ S 0 2,Δis the high order solution of the s...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
1998-12-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9985 |
| Summary: | The analysis of the accuracy of the aposteriori error estimation procedure for finite‐element solutions is presented. The function Y — y is used as an aposteriori error estimator, here y ∈ S 0 1,Δ is the finite‐element solution of the given problem and Y ∈ S 0 2,Δis the high order solution of the same problem. The second order accuracy is proved for this error estimator in the L 2, H 1 and L8 norms. Results of numerical experiments are presented.
First Published Online: 14 Oct 2010
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| ISSN: | 1392-6292 1648-3510 |