A mixed finite element method for a nonlinear Dirichlet problem |
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| Authors: | Farhloul M |
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| Affiliation: | Departement de Mathematiques et de Statistique, Universite de Moncton, Moncton, NM, E1A 3E9, Canada |
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| Abstract: | We study a mixed finite element approximation of a nonlinearDirichlet problem in both two and three dimensions. This studyis a first step towards the treatment of Ladyzhenskaya flowsor quasi-Newtonian flows obeying the power law by mixed finiteelement methods. We give existence and uniqueness results forthe continuous problem and its approximation and we prove anerror bound. |
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