The optimal \(L^2\) error estimate of stabilized finite volume method for the stationary Navier-Stokes problem (Q1953193)
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scientific article; zbMATH DE number 6171655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The optimal \(L^2\) error estimate of stabilized finite volume method for the stationary Navier-Stokes problem |
scientific article; zbMATH DE number 6171655 |
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The optimal \(L^2\) error estimate of stabilized finite volume method for the stationary Navier-Stokes problem (English)
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7 June 2013
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Summary: A finite volume method based on stabilized finite element for the two-dimensional stationary Navier-Stokes equations is analyzed. For the \(P_1-P_0\) element, we obtain the optimal \(L^2\) error estimates of the finite volume solution \(u_h\) and \(p_h\). We also provide some numerical examples to confirm the efficiency of the FVM. Furthermore, the effect of initial value for iterative method is analyzed carefully.
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