TY  - JOUR
AB  - 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.
VL  - 22
IS  - 3
SN  - 0332-1649
DO  - 10.1108/03321640310474877
UR  - https://doi.org/10.1108/03321640310474877
AU  - Bossavit Alain
PY  - 2003
Y1  - 2003/01/01
TI  - Extrusion, contraction: their discretization via Whitney forms
T2  - COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
PB  - MCB UP Ltd
SP  - 470
EP  - 480
Y2  - 2024/04/24
ER  -