Matrix properties of a vector potential cell method for magnetostatics

IEEE Transactions on Magnetics

Volumn 40, Issue 2 II, 2004, Pages 1045-1048

  Alotto, P ^a   Perugia, I ^b  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF PAVIA   (Italy)

Author keywords

Finite element methods; Maxwell equations

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; MAGNETIC FIELDS; MATRIX ALGEBRA; MAXWELL EQUATIONS; VECTORS;

CELL METHOD; COMPUTATIONAL ELECTROMAGNETICS; MESHING; VECTOR POTENTIAL;

MAGNETOSTATICS;

EID: 2342505959     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2004.824587     Document Type: Article

References (9)

1. R. Hiptmair, "Finite elements in computational electromagnetism, " Acta Numerica, pp. 237-339, 2002.
2. M. Marrone, "The equivalence between the cell method, FDTD and FEM," in Proc. 4th IEE CEM Conf., Bournemouth, U.K., Apr. 8-11, 2002.
3. E. Tonti, "Finite formulation of the electromagnetic field," in Geometrical Methods for Computational Electromagnetics. Cambridge, MA: BMW, 2001, vol. 32, Progress in Electromagnetics Research, pp. 1-44.
4. T. Tarhasaari and L. Kettunen, "Some realizations of a discrete Hodge operator: a reinterpretation of finite element techniques," IEEE Trans. Magn., vol. 35, pp. 1494-1497, May 1999.
5. M. Repetto and F. Trevisan, "3D magnetostatic with the finite formulation," IEEE Trans. Magn., vol. 39, pp. 1135-1138, May 2003.
6. R. Hiptmair, "Discrete Hodge operators: an algebraic perspective," in Geometrical Methods for Computational Electromagnetics. Cambridge, MA: EMW, 2001, vol. 32, Progress in Electromagnetics Research, pp. 247-269.
7. A. Bossavit, "Computational electromagnetism and geometry. (3): convergence," J. Jpn. Soc. Appl. Electromagn. Mech., vol. 7, pp. 401-408, 1999.
8. O. Biro, K. Preis, and K. R. Richter, "On the use of the magnetic vector potential in nodal and edge finite element analysis of 3D magnetistatic problems," IEEE Trans. Magn., vol. 32, pp. 651-654, May 1996.
9. A. Kameari and K. Koganezawa, "Convergence of ICCG method in FEM using edge elements without gauge condition," IEEE Trans. Magn., vol. 33, pp. 1223-1226, Mar. 1997.