Abstract
Besides differential forms, special tensor fields are introduced and discussed for the representation of physical fields in continuous medium problems.
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References
B. Schutz: Geometrical methods of mathematical physics, Cambridge University Press 1980
Y. Choquet-Bruhat and al, Analysis, manifolds and physics, Elsevier Science North Holland 1982
E. Tonti, On the mathematical structure of a large class of physical theories, Rend. Acc. Lincei (Vol. 52 1974 pages:48–56)
A. Bossavit, On local computation of the electromagnetic force field in de-formable bodies, nternational Journal of Applied Electromagnetics in Materials (Vol. 2 1992 pages:333–343)
J.E. Marsden and T. J.R. Hughes, Mathematical foundations of elasticity, Dover 1983
R. T. Rockafellar, Convex analysis, Princeton University Press 1972
A. Bossavit, Whitney forms: a class of finite elements for 3D computations in electromagnetism, IEE Proceedings (Vol. 135 A, No.8 1988 pages: 493–500)
J.C. Nedelec, Notions sur les techniques d’lments finis. Mathmatiques et applications, Ellipses 1991
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Henrotte, F., Hameyer, K. (2001). A Mathematical Framework for the Finite Element Modelling of Electromechanical Problems. In: van Rienen, U., Günther, M., Hecht, D. (eds) Scientific Computing in Electrical Engineering. Lecture Notes in Computational Science and Engineering, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56470-3_36
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DOI: https://doi.org/10.1007/978-3-642-56470-3_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42173-3
Online ISBN: 978-3-642-56470-3
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