Abstract
A nonconforming finite element method is introduced to approximate triharmonic boundary value problems in R 3 , among other applications. It is constructed upon tetrahedra and piecewise cubic representations. The finite element can be viewed as the primitive of a quadratic one proposed by the first author to solve biharmonic problems, which can be considered in turn as the three-dimensional analogue of the well-known Morley triangle. The new method is proven to be first order convergent in the natural discrete H 3-norm for the problem under consideration. To cite this article: V. Ruas et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004).
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