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

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

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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Veröffentlicht in:Mathematics of computation 2017-07, Vol.86 (306), p.1609-1641
Hauptverfasser: Cockburn, Bernardo, Fu, Guosheng, Sayas, Francisco Javier
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0025-5718
1088-6842
DOI:10.1090/mcom/3140