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.
|Original language||English (US)|
|Number of pages||22|
|Journal||ESAIM: Mathematical Modelling and Numerical Analysis|
|State||Published - Jan 1 2017|
Bibliographical noteFunding Information:
The first author was partially supported by the National Science Foundation (Grant DMS-1115331).
© EDP Sciences, SMAI 2016.
Copyright 2017 Elsevier B.V., All rights reserved.
- Hybridizable discontinuous Galerkin methods
- Polygonal meshes