Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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.


Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility
HTML articles powered by AMS MathViewer

by John W. Barrett and James F. Blowey PDF
Math. Comp. 68 (1999), 487-517 Request permission


We consider the Cahn-Hilliard equation with a logarithmic free energy and non-degenerate concentration dependent mobility. In particular we prove that there exists a unique solution for sufficiently smooth initial data. Further, we prove an error bound for a fully practical piecewise linear finite element approximation in one and two space dimensions. Finally some numerical experiments are presented.
Similar Articles
Additional Information
  • John W. Barrett
  • Affiliation: Department of Mathematics, Imperial College, London SW7 2BZ, U.K.
  • MR Author ID: 31635
  • Email:
  • James F. Blowey
  • Affiliation: Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, U.K.
  • Email:
  • Received by editor(s): July 16, 1996
  • Received by editor(s) in revised form: September 16, 1997
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 68 (1999), 487-517
  • MSC (1991): Primary 65M60, 65M15, 35K55, 35K35, 82C26
  • DOI:
  • MathSciNet review: 1609678