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

Bernardo Cockburn; Guosheng Fu

doi:10.1051/m2an/2016016

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

Bernardo Cockburn, Guosheng Fu

Mathematics

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

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)
Pages (from-to)	165-186
Number of pages	22
Journal	ESAIM: Mathematical Modelling and Numerical Analysis
Volume	51
Issue number	1
DOIs	https://doi.org/10.1051/m2an/2016016
State	Published - 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.

Keywords

Hybridizable discontinuous Galerkin methods
Polygonal meshes
Superconvergence

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

Abstract

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Keywords

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