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.

 

Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers
HTML articles powered by AMS MathViewer

by Sören Bartels, Christian Lubich and Andreas Prohl PDF
Math. Comp. 78 (2009), 1269-1292 Request permission

Abstract:

We propose fully discrete schemes to approximate the harmonic map heat flow and wave maps into spheres. The finite-element based schemes preserve a unit length constraint at the nodes by means of approximate discrete Lagrange multipliers, satisfy a discrete energy law, and iterates are shown to converge to weak solutions of the continuous problem. Comparative computational studies are included to motivate finite-time blow-up behavior in both cases.
References
Similar Articles
Additional Information
  • Sören Bartels
  • Affiliation: Institute for Numerical Simulation, Rheinische Friedrich-Wilhelms-Universität Bonn, Wegelerstraße 6, D-53115 Bonn, Germany
  • Email: bartels@ins.uni-bonn.de
  • Christian Lubich
  • Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
  • MR Author ID: 116445
  • Email: lubich@na.uni-tuebingen.de
  • Andreas Prohl
  • Affiliation: Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
  • Email: prohl@na.uni-tuebingen.de
  • Received by editor(s): April 10, 2007
  • Received by editor(s) in revised form: April 30, 2008
  • Published electronically: February 18, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 78 (2009), 1269-1292
  • MSC (2000): Primary 65M12, 65M60, 35K55, 35Q35
  • DOI: https://doi.org/10.1090/S0025-5718-09-02221-2
  • MathSciNet review: 2501050