A geometrically defined discrete hodge operator on simplicial cells

IEEE Transactions on Magnetics

Volumn 42, Issue 4, 2006, Pages 643-646

  Auchmann, Bernhard ^a   Kurz, Stefan ^b  

^a CERN   (Switzerland)

^b ROBERT BOSCH GMBH   (Germany)

Author keywords

Cell method; Discrete electromagnetism; Discrete hodge operator

Indexed keywords

GEOMETRY; INTERPOLATION; MAGNETIC FIELDS; THEOREM PROVING;

CELL METHOD; DISCRETE ELECTROMAGNETISM; DISCRETE HODGE OPERATOR;

ELECTROMAGNETISM;

EID: 33645151983     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2006.870932     Document Type: Article

References (11)

1. P. Alotto and I. Perugia, "Martix properties of a vector potential cell method for magnetostatics," IEEE Trans. Magn., vol. 40, no. 2, pp. 1045-1048, Mar. 2003.
2. B. Auchmann, "The coupling of discrete electromagnetism and the boundary element method for the simulation of accelerator magnets," Ph.D. dissertation, Vienna University of Technology, Vienna, Austria, 2004.
3. B. Auchmann, S. Kurz, O. Rain, and S. Russenschuck, "Algebraic properties of BEM-FEM coupling with Whitney elements," COMPEL, vol. 24, no. 2, pp. 480-494, Feb. 2005.
4. A. Bossavit, Computational Electromagnetism. San Diego, CA: Academic, 1998.
5. A. Bossavit, "Computational electromagnetism and geometry (2): Network constitutive laws," J. Jpn. Soc. Appl. Electromagn. Mech., vol. 7, no. 3, pp. 294-301, 1999.
6. A. Bossavit, "Computational electromagnetism and geometry (5): The 'Galerkin Hodge'," J. Jpn. Soc. Appl. Electromagn. Mech.,pp. 203-209, 2000.
7. R. Hiptmair, "Discrete Hodge operators," Universität Tübingen, SFB 382 Tech. Rep. 166, 2001.
8. L. Kettunen and F. Trevisan, "Geometric interpretation of discrete approaches to solving magnetostatic problems," IEEE Trans. Magn., vol. 40, no. 2, pp. 361-365, Mar. 2004.
9. R. Schuhmann and T. Weiland, "Consistent material operators," Int. J. Num. Model., vol. 17, pp. 487-507, 2004.
10. T. Tarhasaari, L. Kettunen, and A. Bossavit, "Some realizations of a discrete Hodge operator: A reinterpretation of finite element techniques," IEEE Trans. Magn., vol. 35, no. 2, pp. 1494-1497, Mar. 1999.
11. T. Weiland, "Time domain electromagnetic field computations with finite difference methods," Int. J. Num. Model., vol. 9, pp. 295-319, 1996.