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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
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by Erik Burman and Alexandre Ern PDF
Math. Comp. 76 (2007), 1119-1140 Request permission


A continuous interior penalty $hp$-finite element method that penalizes the jump of the gradient of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for advection and advection-diffusion equations. The analysis relies on three technical results that are of independent interest: an $hp$-inverse trace inequality, a local discontinuous to continuous $hp$-interpolation result, and $hp$-error estimates for continuous $L^2$-orthogonal projections.
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Additional Information
  • Erik Burman
  • Affiliation: Institut d’Analyse et Calcul Scientifique (CMCS/IACS), Ecole Polytechnique Fédérale de Lausanne, Station 8, CH-1015 Lausanne, Switzerland
  • MR Author ID: 602430
  • Email:
  • Alexandre Ern
  • Affiliation: CERMICS, Ecole des Ponts, ParisTech, Champs-sur-Marne, 77455 Marne la Vallée, Cedex 2, France
  • MR Author ID: 349433
  • Email:
  • Received by editor(s): January 24, 2005
  • Received by editor(s) in revised form: March 25, 2006
  • Published electronically: January 24, 2007
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 76 (2007), 1119-1140
  • MSC (2000): Primary 65N30, 65N12, 65N15, 65D05, 65N35
  • DOI:
  • MathSciNet review: 2299768