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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.


Hybridized globally divergence-free LDG methods. Part I: The Stokes problem
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by Jesús Carrero, Bernardo Cockburn and Dominik Schötzau PDF
Math. Comp. 75 (2006), 533-563 Request permission


We devise and analyze a new local discontinuous Galerkin (LDG) method for the Stokes equations of incompressible fluid flow. This optimally convergent method is obtained by using an LDG method to discretize a vorticity-velocity formulation of the Stokes equations and by applying a new hybridization to the resulting discretization. One of the main features of the hybridized method is that it provides a globally divergence-free approximate velocity without having to construct globally divergence-free finite-dimensional spaces; only elementwise divergence-free basis functions are used. Another important feature is that it has significantly less degrees of freedom than all other LDG methods in the current literature; in particular, the approximation to the pressure is only defined on the faces of the elements. On the other hand, we show that, as expected, the condition number of the Schur-complement matrix for this approximate pressure is of order $h^{-2}$ in the mesh size $h$. Finally, we present numerical experiments that confirm the sharpness of our theoretical a priori error estimates.
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Additional Information
  • Jesús Carrero
  • Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
  • Email:
  • Bernardo Cockburn
  • Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
  • Email:
  • Dominik Schötzau
  • Affiliation: Department of Mathematics, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada
  • Email:
  • Received by editor(s): June 9, 2004
  • Received by editor(s) in revised form: February 9, 2005
  • Published electronically: December 16, 2005
  • Additional Notes: The second author was supported in part by the National Science Foundation (Grant DMS-0411254) and by the University of Minnesota Supercomputing Institute. The third author was supported in part by the Natural Sciences and Engineering Research Council of Canada.
  • © Copyright 2005 American Mathematical Society
  • Journal: Math. Comp. 75 (2006), 533-563
  • MSC (2000): Primary 65N30
  • DOI:
  • MathSciNet review: 2196980