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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/651808 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |