Geodesic
Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements
Cockburn, Bernardo1  ; Fu, Guosheng1
1 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 1, pp. 365-398

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We apply the concept of an M-decomposition in the framework of steady-state diffusion problems to construct local spaces defining superconvergent hybridizable discontinuous Galerkin methods as well as their companion sandwiching mixed methods in ℝ3 with tetrahedral, pyramidal, prismatic, and hexahedral elements.

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DOI : 10.1051/m2an/2016023
Classification : 65M60, 65N30, 58J32, 65N15
Keywords: Hybridizable discontinuous Galerkin methods, superconvergence, polyhedral meshes

Cockburn, Bernardo 1 ; Fu, Guosheng 1

1 School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA. 
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     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
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Cockburn, Bernardo; Fu, Guosheng. Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 1, pp. 365-398. doi: 10.1051/m2an/2016023

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