A rationale for “edge-elements” in 3-d fields computations

IEEE Transactions on Magnetics

Volumn 24, Issue 1, 1988, Pages 74-79

  Bossavit, Alain ^a  

^a EDF R AND D   (France)

Author keywords

[No Author keywords available]

Indexed keywords

3-D FIELDS COMPUTATIONS; EDGE-ATTACHED DEGREES OF FREEDOM (EDGE-ELEMENTS);

EDDY CURRENTS - THEORY; MATHEMATICAL TECHNIQUES - FINITE ELEMENT METHOD;

ELECTRIC FIELDS;

EID: 0023165973     PISSN: 00189464     EISSN: 19410069     Source Type: Journal    
DOI: 10.1109/20.43860     Document Type: Article

References (11)

1. A. Bossavit, J.C. Verite, “A Mixed FEM-BIEM Method to Solve 3-D Eddy Current Problems”, IEEE Trans., MAG-18, 2 (1982), pp. 431–35.
2. A. Bossavit, J.C. Verite, “The ‘Trifou Code: Solving the 3-D Eddy-Currents Problem by Using H as State Variable”, IEEE Trans., MAG-19, 6 (1983), pp. 2465–70.
3. C. von Westenholz, Differential Forms in Mathematical Physics, North-HolIand—Ostmsterdam), 1481.
4. P.R. Kotiuga, Hodge decompositions in Electromagnetism (thesis, McGill University), 1984.
5. H. Whitney, Geometric Integration Theory, Princeton U.P. (Princeton), 1957.
6. K. Yosida, Functional Analysis, Springer (Berlin), 1964.
7. V. Girault, P.A. Raviart, Finite-Element Approximation of the Navier-Stokes Equations, Springer (Berlin), 1979.
8. J.D. Ramshaw, “A Method for Enforcing the Solenoidal Condition on Magnetic Field in Numerical Calculations”, J. Comp. Phys. 52, 3 (1983), pp. 592–96.
9. M.L. Barton, Tangentially Continuous Vector Finite Elements for Non-linear 3-D Magnetic Field Problems (thesis, CMU, PittsburdEl, 1987.
10. M.L. Barton, Z.J. Cendes, “New vector finite elements for three-dimensional magnetic fields computations ”, J. Appl. Phys., 61, 8 (1987), pp. 3919–21.
11. A. Bossavit, “Two dual formulations of the 3-D eddy-currents problem”, COMPEL, 4, 2 (1985), pp. 103–116.