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.

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.

Reçu le :
Accepté le :
DOI : 10.1051/m2an/2016023
Classification : 65M60, 65N30, 58J32, 65N15
Mots-clés : 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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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. https://www.numdam.org/articles/10.1051/m2an/2016023/

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