Discrete spaces for div and curl-free fields

IEEE Transactions on Magnetics

Volumn 34, Issue 5 PART 1, 1998, Pages 2551-2554

  Kettunen, Lauri ^a   Forsman, Kimmo ^a,b  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

^b EDF R AND D   (France)

Author keywords

Bounding cycles; Cycles; De rham cohomology groups; Whitney elements

Indexed keywords

EID: 0001469953     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.717588     Document Type: Article

References (11)

1. H. Flanders, Differential Forms with Applications to the Physical Sciences. Dover Publications, 1989.
2. A. Bossavit, P. R. Kotiuga, A. Vourdas, and K. J. Binns, "Correspondence on "Magnetostatics with scalar potentials in multiply connected regions"," IEE Proc. , vol. 136, Pt. A, no. 5, pp. 260-261, 1989.
3. A. Bossavit, "Magnetostatic problems in multiply connected regions: some properties of the curl operator," IEE Proc. , vol. 135, Pt. A, no. 3, pp. 179-187, 1988.
4. A. Bossavit, "Whitney forms: a class of 6nite elements for three-dimensional computations in electromagnetism," IEE Proc. , vol. 135, Pt. A, no. 8, pp. 493-500, 1988.
5. R. Albanese and G. Rubinacci, "Integral formulation for 3D eddy-current computation using edge elements," IEE Proc. , vol. 135, Pt. A, no. 7, pp. 457-462, 1988.
6. L. Kettunen, K. Porsman, D. Levine, and W. Gropp, "Integral equations and nonlinear 3D magnetostatics," Int. J. Numer. Methods Eng. , vol. 38, pp. 2655-2675, August 1995.
7. L. Kettunen, K. Forsman, and A. Bossavit, "Formulation of the eddy current problem in multiply connected regions in terms of h," Int. J. Numer. Meth. Engng. , vol. 41, pp. 935954, 1998.
8. A. Bossavit, Computational Electromagnetism, Variational Formulations, Edge Elements, Complementarity. Boston: Academic Press, 1997.
9. Z. Ren and A. Razek, "Boundary edge elements and spanning tree technique in three-dimensional electromagnetic field computation," Int. J. Num. Meth. Eng. , vol. 36, pp. 2877-2893, 1993.
10. G. de Rham, Differentiate manifolds. Springer, 1984. (Translated from the French).
11. P. R. Kotiuga, Hodge decompositions and computational electromagnetics. PhD thesis, McGill University, Montreal, Canada, 1984.