Superconvergence by 𝑀-decompositions. Part I: General theory for HDG methods for diffusion

Cockburn, Bernardo; Fu, Guosheng; Sayas, Francisco

doi:10.1090/mcom/3140

Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion
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by Bernardo Cockburn, Guosheng Fu and Francisco Javier Sayas;

Math. Comp. 86 (2017), 1609-1641

DOI: https://doi.org/10.1090/mcom/3140

Published electronically: November 16, 2016

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Abstract:

We introduce the concept of an $M$-decomposition and show how to use it to systematically construct hybridizable discontinuous Galerkin and mixed methods for steady-state diffusion methods with superconvergence properties on unstructured meshes.

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