First‐order system least squares for the Oseen equations |
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Authors: | Sang Dong Kim Chang‐Ock Lee Thomas A Manteuffel Stephen F McCormick Oliver Rhrle |
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Institution: | Sang Dong Kim,Chang‐Ock Lee,Thomas A. Manteuffel,Stephen F. McCormick,Oliver Röhrle |
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Abstract: | Following earlier work for Stokes equations, a least squares functional is developed for two‐ and three‐dimensional Oseen equations. By introducing a velocity flux variable and associated curl and trace equations, ellipticity is established in an appropriate product norm. The form of Oseen equations examined here is obtained by linearizing the incompressible Navier–Stokes equations. An algorithm is presented for approximately solving steady‐state, incompressible Navier–Stokes equations with a nested iteration‐Newton‐FOSLS‐AMG iterative scheme, which involves solving a sequence of Oseen equations. Some numerical results for Kovasznay flow are provided. Copyright © 2006 John Wiley & Sons, Ltd. |
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Keywords: | least squares discretization Oseen equations nested iteration |
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