A Composite Hexahedral Mixed Finite Element with Kershaw meshes

Ibtihel Ben Gharbia 1, * Jérôme Jaffré 1 Jean Roberts 1 Kumar N. Suresh 2
* Corresponding author
2 Department of Mathematics
National Institute of Technology
Abstract : A Composite Hexahedral Mixed Finite Element for hexahedral meshes is presented. This composite element is based on the decomposition of the hexahedron into five tetrahedrons. A diffusion equation with an anisotropic diffusion coefficient and a known exact solution is solved on Kershaw meshes. Error charts for the $L^2$-error in both the scalar and vector variables are shown.
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Ibtihel Ben Gharbia, Jérôme Jaffré, Jean Roberts, Kumar N. Suresh. A Composite Hexahedral Mixed Finite Element with Kershaw meshes. [Research Report] RR-7936, INRIA. 2012, pp.13. ⟨hal-00690019⟩

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