| Issue |
ESAIM: M2AN
Volume 51, Number 1, January-February 2017
|
|
|---|---|---|
| Page(s) | 365 - 398 | |
| DOI | https://doi.org/10.1051/m2an/2016023 | |
| Published online | 23 December 2016 | |
Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements∗
School of Mathematics, University of
Minnesota, Minneapolis, MN
55455,
USA.
cockburn@math.umn.edu; fuxxx165@math.umn.edu
Received:
26
November
2015
Revised:
20
March
2016
Accepted:
31
March
2016
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.
Mathematics Subject Classification: 65M60 / 65N30 / 58J32 / 65N15
Key words: Hybridizable discontinuous Galerkin methods / superconvergence / polyhedral meshes
© EDP Sciences, SMAI 2016
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