New Numerical Method for the Rotation form of the Oseen Problem with Corner Singularity
In the paper, a new numerical approach for the rotation form of the Oseen system in a polygon Ω with an internal corner ω greater than 180 ∘ on its boundary is presented. The results of computational simulations have shown that the convergence rate of...
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MDPI AG
2019-01-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/11/1/54 |
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doaj-7df8209d0e084642aafacd06b6fa61a82020-11-25T00:46:11ZengMDPI AGSymmetry2073-89942019-01-011115410.3390/sym11010054sym11010054New Numerical Method for the Rotation form of the Oseen Problem with Corner SingularityViktor A. Rukavishnikov0Alexey V. Rukavishnikov1Computing Center of Far-Eastern Branch, Russian Academy of Sciences, Kim-Yu-Chen Str. 65, Khabarovsk 680000, RussiaInstitute of Applied Mathematics of Far-Eastern Branch, Khabarovsk Division, Russian Academy of Sciences, Dzerzhinsky Str. 54, Khabarovsk 680000, RussiaIn the paper, a new numerical approach for the rotation form of the Oseen system in a polygon Ω with an internal corner ω greater than 180 ∘ on its boundary is presented. The results of computational simulations have shown that the convergence rate of the approximate solution (velocity field) by weighted FEM to the exact solution does not depend on the value of the internal corner ω and equals O ( h ) in the norm of a space W 2 , ν 1 ( Ω ) .http://www.mdpi.com/2073-8994/11/1/54Oseen problemcorner singularityweighted finite element methodpreconditioning |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Viktor A. Rukavishnikov Alexey V. Rukavishnikov |
| spellingShingle |
Viktor A. Rukavishnikov Alexey V. Rukavishnikov New Numerical Method for the Rotation form of the Oseen Problem with Corner Singularity Symmetry Oseen problem corner singularity weighted finite element method preconditioning |
| author_facet |
Viktor A. Rukavishnikov Alexey V. Rukavishnikov |
| author_sort |
Viktor A. Rukavishnikov |
| title |
New Numerical Method for the Rotation form of the Oseen Problem with Corner Singularity |
| title_short |
New Numerical Method for the Rotation form of the Oseen Problem with Corner Singularity |
| title_full |
New Numerical Method for the Rotation form of the Oseen Problem with Corner Singularity |
| title_fullStr |
New Numerical Method for the Rotation form of the Oseen Problem with Corner Singularity |
| title_full_unstemmed |
New Numerical Method for the Rotation form of the Oseen Problem with Corner Singularity |
| title_sort |
new numerical method for the rotation form of the oseen problem with corner singularity |
| publisher |
MDPI AG |
| series |
Symmetry |
| issn |
2073-8994 |
| publishDate |
2019-01-01 |
| description |
In the paper, a new numerical approach for the rotation form of the Oseen system in a polygon Ω with an internal corner ω greater than 180 ∘ on its boundary is presented. The results of computational simulations have shown that the convergence rate of the approximate solution (velocity field) by weighted FEM to the exact solution does not depend on the value of the internal corner ω and equals O ( h ) in the norm of a space W 2 , ν 1 ( Ω ) . |
| topic |
Oseen problem corner singularity weighted finite element method preconditioning |
| url |
http://www.mdpi.com/2073-8994/11/1/54 |
| work_keys_str_mv |
AT viktorarukavishnikov newnumericalmethodfortherotationformoftheoseenproblemwithcornersingularity AT alexeyvrukavishnikov newnumericalmethodfortherotationformoftheoseenproblemwithcornersingularity |
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