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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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 |
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doaj-be636e9d173b4d448aae7db36bdbf0072021-07-02T10:27:41ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35101998-12-013110.3846/13926292.1998.9637084On the aposteriori error estimates for finite‐element solutionsRaimondas Èiegis0Institute of Mathematics and Informatics , Vilnius Gediminas Technical University , Akademijos 4, Vilnius, LT‐2600, Lithuania 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 https://journals.vgtu.lt/index.php/MMA/article/view/9985- |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Raimondas Èiegis |
| spellingShingle |
Raimondas Èiegis On the aposteriori error estimates for finite‐element solutions Mathematical Modelling and Analysis - |
| author_facet |
Raimondas Èiegis |
| author_sort |
Raimondas Èiegis |
| title |
On the aposteriori error estimates for finite‐element solutions |
| title_short |
On the aposteriori error estimates for finite‐element solutions |
| title_full |
On the aposteriori error estimates for finite‐element solutions |
| title_fullStr |
On the aposteriori error estimates for finite‐element solutions |
| title_full_unstemmed |
On the aposteriori error estimates for finite‐element solutions |
| title_sort |
on the aposteriori error estimates for finite‐element solutions |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
1998-12-01 |
| description |
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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| topic |
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| url |
https://journals.vgtu.lt/index.php/MMA/article/view/9985 |
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AT raimondaseiegis ontheaposteriorierrorestimatesforfiniteelementsolutions |
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1721332043742183424 |