The Maximum Principle for Beltrami Color Flow | Zendy

Lorina Dascal | Zendy; Nir Sochen | Zendy

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The Maximum Principle for Beltrami Color Flow

Author(s) -

Lorina Dascal,

Nir Sochen

Publication year - 2003

Publication title -

lecture notes in computer science

Language(s) - English

Resource type - Book series

SCImago Journal Rank - 0.249

H-Index - 400

eISSN - 1611-3349

pISSN - 0302-9743

ISBN - 3-540-40368-X

DOI - 10.1007/3-540-44935-3_14

Subject(s) - maximum principle , stability (learning theory) , flow (mathematics) , computer science , work (physics) , mathematics , mathematical optimization , geometry , physics , machine learning , thermodynamics , optimal control

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.

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