Superconvergence by M -decompositions. Part II: Construction of two-dimensional finite elements

Bernardo Cockburn, Guosheng Fu

Research output: Contribution to journalArticlepeer-review

27 Scopus citations


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 languageEnglish (US)
Pages (from-to)165-186
Number of pages22
JournalESAIM: Mathematical Modelling and Numerical Analysis
Issue number1
StatePublished - Jan 1 2017

Bibliographical note

Funding Information:
The first author was partially supported by the National Science Foundation (Grant DMS-1115331).

Publisher Copyright:
© EDP Sciences, SMAI 2016.


  • Hybridizable discontinuous Galerkin methods
  • Polygonal meshes
  • Superconvergence


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