Some Uzawa methods for steady incompressible Navier-Stokes equations discretized by mixed element methods

• Autores: Puyin Chen, Jianguo Huang, Huashan Sheng
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 273, Nº 1, 2015, págs. 313-325
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.06.019
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• Resumen

  • Some Uzawa-type iterative methods are devised to solve steady incompressible Navier� Stokes equations discretized by mixed element methods. Compared with the most existing iterative methods, these methods require no numerical solution of any saddle-point system at each iteration step. After some novel and technical derivation, it is proved that the methods converge geometrically with a contraction number independent of the finite element mesh size h, even for regular triangulations. A series of numerical experiments are reported to show the computational performance and accuracy of our methods proposed.