Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations
We consider a stabilized multiscale nonconforming finite element method for the two-dimensional stationary incompressible Navier-Stokes problem. This method is based on the enrichment of the standard polynomial space for the velocity component with multiscale function and the nonconforming lowest e...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/651808 |
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| _version_ | 1832555479072505856 |
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| author | Tong Zhang Shunwei Xu Jien Deng |
| author_facet | Tong Zhang Shunwei Xu Jien Deng |
| author_sort | Tong Zhang |
| collection | DOAJ |
| description | We consider a stabilized multiscale nonconforming finite element
method for the two-dimensional stationary incompressible Navier-Stokes problem.
This method is based on the enrichment of the standard polynomial space for the velocity
component with multiscale function and the nonconforming lowest equal-order
finite element pair. Stability and existence uniqueness of the numerical solution are
established, optimal-order error estimates are also presented. Finally, some numerical
results are presented to validate the performance of the proposed method. |
| format | Article |
| id | doaj-art-8c514c293426409fab51b775d00c07d7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8c514c293426409fab51b775d00c07d72025-02-03T05:48:08ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/651808651808Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes EquationsTong Zhang0Shunwei Xu1Jien Deng2School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, ChinaSchool of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, ChinaWe consider a stabilized multiscale nonconforming finite element method for the two-dimensional stationary incompressible Navier-Stokes problem. This method is based on the enrichment of the standard polynomial space for the velocity component with multiscale function and the nonconforming lowest equal-order finite element pair. Stability and existence uniqueness of the numerical solution are established, optimal-order error estimates are also presented. Finally, some numerical results are presented to validate the performance of the proposed method.http://dx.doi.org/10.1155/2012/651808 |
| spellingShingle | Tong Zhang Shunwei Xu Jien Deng Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations Abstract and Applied Analysis |
| title | Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations |
| title_full | Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations |
| title_fullStr | Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations |
| title_full_unstemmed | Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations |
| title_short | Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations |
| title_sort | stabilized multiscale nonconforming finite element method for the stationary navier stokes equations |
| url | http://dx.doi.org/10.1155/2012/651808 |
| work_keys_str_mv | AT tongzhang stabilizedmultiscalenonconformingfiniteelementmethodforthestationarynavierstokesequations AT shunweixu stabilizedmultiscalenonconformingfiniteelementmethodforthestationarynavierstokesequations AT jiendeng stabilizedmultiscalenonconformingfiniteelementmethodforthestationarynavierstokesequations |