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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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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 PDF
Math. Comp. 86 (2017), 1609-1641 Request permission

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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Additional Information
  • Bernardo Cockburn
  • Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
  • Email: cockburn@math.umn.edu
  • Guosheng Fu
  • Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
  • Address at time of publication: Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912
  • MR Author ID: 1061680
  • Email: guosheng_fu@brown.edu
  • Francisco Javier Sayas
  • Affiliation: Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716
  • MR Author ID: 621885
  • Email: fjsayas@udel.edu
  • Received by editor(s): December 29, 2014
  • Received by editor(s) in revised form: November 9, 2015, and December 26, 2015
  • Published electronically: November 16, 2016
  • Additional Notes: The first author was partially supported by the National Science Foundation (grant DMS-1115331)
    The third author was partially supported by the National Science Foundation (grant DMS-1216356)
  • © Copyright 2016 American Mathematical Society
  • Journal: Math. Comp. 86 (2017), 1609-1641
  • MSC (2010): Primary 65M60, 65N30, 58J32, 65N15
  • DOI: https://doi.org/10.1090/mcom/3140
  • MathSciNet review: 3626530