Skip to Main Content

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.


A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
HTML articles powered by AMS MathViewer

by Vivette Girault, Béatrice Rivière and Mary F. Wheeler PDF
Math. Comp. 74 (2005), 53-84 Request permission


A family of discontinuous Galerkin finite element methods is formulated and analyzed for Stokes and Navier-Stokes problems. An inf-sup condition is established as well as optimal energy estimates for the velocity and $L^2$ estimates for the pressure. In addition, it is shown that the method can treat a finite number of nonoverlapping domains with nonmatching grids at interfaces.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (2000): 35Q30, 76D05, 76D07
  • Retrieve articles in all journals with MSC (2000): 35Q30, 76D05, 76D07
Additional Information
  • Vivette Girault
  • Affiliation: Université Pierre et Marie Curie, Paris VI, Laboratoire Jacques-Louis Lions, $4$, place Jussieu, F-75230 Paris Cedex 05, France
  • Email:
  • Béatrice Rivière
  • Affiliation: Department of Mathematics, University of Pittsburgh, 301 Thackeray, Pittsburgh, Pennsylvania 15260
  • Email:
  • Mary F. Wheeler
  • Affiliation: The Center for Subsurface Modeling, Institute for Computational Engineering and Sciences, The University of Texas, 201 E. 24th St., Austin, Texas 78712
  • Email:
  • Received by editor(s): March 26, 2002
  • Received by editor(s) in revised form: May 9, 2003
  • Published electronically: March 23, 2004
  • Additional Notes: Each author was supported in part by DOD Pet2 Grant and NSF Grants KDI#DMS-9873326 and ITR#EIA-0121523.
  • © Copyright 2004 American Mathematical Society
  • Journal: Math. Comp. 74 (2005), 53-84
  • MSC (2000): Primary 35Q30; Secondary 76D05, 76D07
  • DOI:
  • MathSciNet review: 2085402