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

Bernardo Cockburn; Guosheng Fu; Francisco Javier Sayas

doi:10.1090/mcom/3140

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

Bernardo Cockburn, Guosheng Fu, Francisco Javier Sayas

Mathematics

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43 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1609-1641
Number of pages	33
Journal	Mathematics of Computation
Volume	86
Issue number	306
DOIs	https://doi.org/10.1090/mcom/3140
State	Published - 2017

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© 2016 American Mathematical Society.

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

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