Volume 51, Number 1, January-February 2017
|Page(s)||165 - 186|
|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.
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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