Extrusion, contraction: their discretization via Whitney forms

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COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

ISSN: 0332-1649

Online from: 1982

Subject Area: Electrical & Electronic Engineering

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Document Information:
Title:	Extrusion, contraction: their discretization via Whitney forms
Author(s):	Alain Bossavit, (LGEP, Gif-sur Yvette, France)
Citation:	Alain Bossavit, (2003) "Extrusion, contraction: their discretization via Whitney forms", COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 22 Iss: 3, pp.470 - 480
Keywords:	Contraction, Extrusion, Gauging, Generalized finite differences, Magnetohydrodynamics, Whitney forms
Article type:	Research Paper
DOI:	10.1108/03321640310474877 (Permanent URL)
Publisher:	MCB UP Ltd
Abstract:	The v×B term in eddy current equations for conducting fluids is an instance of contraction of a differential form by a vector field. We search for a natural way to discretize such contractions. Looking at the operation of extrusion of a manifold, which is dual to contraction, provides the main clue. Two example applications, Carpenter's gauge and Eulerian computations in MHD problems, are suggested.