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 fully discrete plates complex on polygonal meshes with application to the Kirchhoff–Love problem
HTML articles powered by AMS MathViewer

by Daniele A. Di Pietro and Jérôme Droniou HTML | PDF
Math. Comp. 92 (2023), 51-77 Request permission


In this work we develop a novel fully discrete version of the plates complex, an exact Hilbert complex relevant for the mixed formulation of fourth-order problems. The derivation of the discrete complex follows the discrete de Rham paradigm, leading to an arbitrary-order construction that applies to meshes composed of general polygonal elements. The discrete plates complex is then used to derive a novel numerical scheme for Kirchhoff–Love plates, for which a full stability and convergence analysis are performed. Extensive numerical tests complete the exposition.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC (2020): 74K20, 74S05, 65N30
  • Retrieve articles in all journals with MSC (2020): 74K20, 74S05, 65N30
Additional Information
  • Daniele A. Di Pietro
  • Affiliation: IMAG, Univ Montpellier, CNRS, Montpellier, France
  • MR Author ID: 790640
  • ORCID: 0000-0003-0959-8830
  • Email:
  • Jérôme Droniou
  • Affiliation: School of Mathematics, Monash University, Melbourne, Australia
  • MR Author ID: 655312
  • ORCID: 0000-0002-3339-3053
  • Email:
  • Received by editor(s): December 29, 2021
  • Received by editor(s) in revised form: May 2, 2022, and May 21, 2022
  • Published electronically: August 29, 2022
  • Additional Notes: The authors were supported by Agence Nationale de la Recherche through the grant ANR-20-MRS2-0004 “NEMESIS”. The first author was also supported by I-Site MUSE through the grant ANR-16-IDEX-0006 “RHAMNUS”
  • © Copyright 2022 American Mathematical Society
  • Journal: Math. Comp. 92 (2023), 51-77
  • MSC (2020): Primary 74K20, 74S05, 65N30
  • DOI:
  • MathSciNet review: 4496959