| Issue |
ESAIM: M2AN
Volume 51, Number 1, January-February 2017
|
|
|---|---|---|
| Page(s) | 165 - 186 | |
| DOI | https://doi.org/10.1051/m2an/2016016 | |
| Published online | 28 November 2016 | |
Superconvergence by M-decompositions. Part II: Construction of two-dimensional finite elements∗
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA.
cockburn@math.umn.edu; fuxxx165@math.umn.edu
Received:
29
September
2015
Revised:
16
February
2016
Accepted:
2
March
2016
We apply the concept of an M-decomposition introduced in Part I to systematically construct local spaces defining superconvergent hybridizable discontinuous Galerkin methods, and their companion sandwiching mixed methods. This is done in the framework of steady-state diffusion problems for the h- and p-versions of the methods for general polygonal meshes in two-space dimensions.
Mathematics Subject Classification: 65M60 / 65N30 / 58J32 / 65N15
Key words: Hybridizable discontinuous Galerkin methods / superconvergence / polygonal meshes
© EDP Sciences, SMAI 2016
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