Dual iterative techniques for solving a finite element approximation of the biharmonic equation |
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Authors: | P.G. Ciarlet R. Glowinski |
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Affiliation: | Analyse Numérique, Tour 55–65, Université de Paris VI, 4, Place Jussieu, 75230 Paris Cedex 05, France |
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Abstract: | A finite element approximation of the Dirichlet problem for the biharmonic operator is described. Its main feature is that it is equivalent to solving a sequence of discrete Dirichlet problems for the operator -Δ. This method, which has already been shown to be convergent, is particularly well-suited for problems in fluid dynamics. |
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