The maximum principle for Beltrami color flow

Lorina Dascal, Nir Sochen

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We study, in this work, the maximum principle for the Beltrami color flow and the stability of the flow's numerical approximation by finite difference schemes. We discuss, in the continuous case, the theoretical properties of this system and prove the maximum principle in the strong and the weak formulations. In the discrete case, all the second order explicit schemes, that are currently used, violate, in general, the maximum principle. For these schemes we give a theoretical stability proof, accompanied by several numerical examples.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsLewis D. Griffin, Martin Lillholm
PublisherSpringer Verlag
Pages196-208
Number of pages13
ISBN (Print)354040368X
DOIs
StatePublished - 2003

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2695
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Keywords

  • Beltrami Framework
  • Finite difference schemes
  • Maximum Principle
  • Parabolic PDE's

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