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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.


Error analysis of variable degree mixed methods for elliptic problems via hybridization
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by Bernardo Cockburn and Jayadeep Gopalakrishnan PDF
Math. Comp. 74 (2005), 1653-1677 Request permission


A new approach to error analysis of hybridized mixed methods is proposed and applied to study a new hybridized variable degree Raviart-Thomas method for second order elliptic problems. The approach gives error estimates for the Lagrange multipliers without using error estimates for the other variables. Error estimates for the primal and flux variables then follow from those for the Lagrange multipliers. In contrast, traditional error analyses obtain error estimates for the flux and primal variables first and then use it to get error estimates for the Lagrange multipliers. The new approach not only gives new error estimates for the new variable degree Raviart-Thomas method, but also new error estimates for the classical uniform degree method with less stringent regularity requirements than previously known estimates. The error analysis is achieved by using a variational characterization of the Lagrange multipliers wherein the other unknowns do not appear. This approach can be applied to other hybridized mixed methods as well.
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Additional Information
  • Bernardo Cockburn
  • Affiliation: School of Mathematics, University of Minnesota, Vincent Hall, Minneapolis, Minnesota 55455
  • Email:
  • Jayadeep Gopalakrishnan
  • Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611–8105
  • MR Author ID: 661361
  • Email:
  • Received by editor(s): November 26, 2003
  • Received by editor(s) in revised form: August 1, 2004
  • Published electronically: March 1, 2005
  • Additional Notes: The first author is supported in part by the National Science Foundation (Grant DMS-0411254) and by the University of Minnesota Supercomputing Institute
    The second author is supported by the National Science Foundation (Grant DMS-0410030).
  • © Copyright 2005 American Mathematical Society
  • Journal: Math. Comp. 74 (2005), 1653-1677
  • MSC (2000): Primary 65N30
  • DOI:
  • MathSciNet review: 2164091