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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.


Discontinuous Galerkin error estimation for linear symmetrizable hyperbolic systems
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by Slimane Adjerid and Thomas Weinhart PDF
Math. Comp. 80 (2011), 1335-1367 Request permission


We present an a posteriori error analysis for the discontinuous Galerkin discretization error of first-order linear symmetrizable hyperbolic systems of partial differential equations with smooth solutions. We perform a local error analysis by writing the local error as a series and showing that its leading term can be expressed as a linear combination of Legendre polynomials of degree $p$ and $p+1$. We apply these asymptotic results to show that projections of the error are pointwise $\mathcal {O}(h^{p+2})$-superconvergent. We solve relatively small local problems to compute efficient and asymptotically exact estimates of the finite element error. We present computational results for several linear hyperbolic systems in acoustics and electromagnetism.
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Additional Information
  • Slimane Adjerid
  • Affiliation: Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061
  • Thomas Weinhart
  • Affiliation: Department of Applied Mathematics, University of Twente, 7500 AE Enschede, The Netherlands
  • Received by editor(s): September 10, 2009
  • Received by editor(s) in revised form: June 17, 2010
  • Published electronically: January 25, 2011
  • Additional Notes: This research was partially supported by the National Science Foundation (Grant Numbers DMS 0511806, DMS 0809262).
  • © Copyright 2011 American Mathematical Society
  • Journal: Math. Comp. 80 (2011), 1335-1367
  • MSC (2010): Primary 65M60, 65N35; Secondary 35L50
  • DOI:
  • MathSciNet review: 2785461