Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements∗

Bernardo Cockburn, Guosheng Fu

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

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 â ||3 with tetrahedral, pyramidal, prismatic, and hexahedral elements.

Original languageEnglish (US)
Pages (from-to)365-398
Number of pages34
JournalESAIM: Mathematical Modelling and Numerical Analysis
Volume51
Issue number1
DOIs
StatePublished - Jan 1 2017

Keywords

  • Hybridizable discontinuous Galerkin methods
  • polyhedral meshes.
  • superconvergence

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