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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.


The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids
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by Jun Hu and Shangyou Zhang PDF
Math. Comp. 84 (2015), 563-579 Request permission


A family of $C^{k-1}$-$Q_{k}$ finite elements on $R^n$ rectangular grids is constructed. The finite element space is shown to be the full $C^{k-1}$-$Q_{k}$ space and possess the optimal order of approximation property. The polynomial degree is minimal in order to form such a $H^{k}$ finite element space. Numerical tests are provided for using the 2D $C^1$-$Q_{2}$ and $C^2$-$Q_{3}$ finite elements.
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Additional Information
  • Jun Hu
  • Affiliation: LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
  • MR Author ID: 714525
  • Email:
  • Shangyou Zhang
  • Affiliation: Department of Mathematical Sciences, University of Delaware, Newark, Delawre 19716
  • MR Author ID: 261174
  • Email:
  • Received by editor(s): January 27, 2013
  • Received by editor(s) in revised form: May 10, 2013, June 6, 2013, and August 1, 2013
  • Published electronically: August 14, 2014
  • Additional Notes: The first author was supported by the NSFC Project 11271035, and in part by the NSFC Key Project 11031006.
  • © Copyright 2014 American Mathematical Society
  • Journal: Math. Comp. 84 (2015), 563-579
  • MSC (2010): Primary 65N30
  • DOI:
  • MathSciNet review: 3290955