Simultaneous use of node and vector finite elements for computing three-dimensional nonstationary electromagnetic fields
Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 3, pp. 132-147.

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a computational scheme, based on the simultaneous use of vector and scalar finite elements, which enables us to model electromagnetic fields taking into account the vortex currents in the conducting objects. Using the example of a solution of a model problem, we demonstrate the efficiency of the approach proposed.
@article{SJIM_2004_7_3_a13,
     author = {Yu. G. Soloveichik and M. \'E. Royak},
     title = {Simultaneous use of node and vector finite elements for computing three-dimensional nonstationary electromagnetic fields},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {132--147},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2004_7_3_a13/}
}
TY  - JOUR
AU  - Yu. G. Soloveichik
AU  - M. É. Royak
TI  - Simultaneous use of node and vector finite elements for computing three-dimensional nonstationary electromagnetic fields
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2004
SP  - 132
EP  - 147
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2004_7_3_a13/
LA  - ru
ID  - SJIM_2004_7_3_a13
ER  - 
%0 Journal Article
%A Yu. G. Soloveichik
%A M. É. Royak
%T Simultaneous use of node and vector finite elements for computing three-dimensional nonstationary electromagnetic fields
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2004
%P 132-147
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2004_7_3_a13/
%G ru
%F SJIM_2004_7_3_a13
Yu. G. Soloveichik; M. É. Royak. Simultaneous use of node and vector finite elements for computing three-dimensional nonstationary electromagnetic fields. Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 3, pp. 132-147. http://geodesic.mathdoc.fr/item/SJIM_2004_7_3_a13/

[1] Igarashi H., “On the property of the curl-curl matrix in finite element analysis with edge elements”, IEEE Trans. Magnetics, 37:5 (2001), 3129–3132 | DOI

[2] Soloveichik Yu. G., Royak M. E., “Sovmestnoe ispolzovanie skalyarnogo i vektornogo potentsiala pri konechnoelementnom modelirovanii trekhmernykh nestatsionarnykh elektromagnitnykh polei v elektrotekhnicheskikh ustroistvakh”, Nauch. vestnik NGTU, 1997, no. 3, 141–160

[3] Silvester P., Ferrari R., Metod konechnykh elementov dlya radioinzhenerov i inzhenerov-elektrikov, Mir, M., 1986 | Zbl

[4] Bossavit A., “Whitney forms: a class of finite elements for three-dimensional computations in electromagnetism”, IEE Proc., 1988, no. 135, 493–500, Part A

[5] Norri D., de Friz Zh., Vvedenie v metod konechnykh elementov, Mir, M., 1981 | MR | Zbl

[6] Jin-Fa Lee, Raj Mittra, “A note on the application of edge-elements for modelling three-dimensional inhomogeneously-filled cavities”, IEEE Trans. Microwave Theory and Techniques, 1992, 1767–1773, MTT-40

[7] Mohammed S. Tharf, George I. Costache, “Finite element method solutions of field distributions in large cavities”, Internat. J. Numer. Modelling: Electronic Net-works, Devices and Fields, 7 (1994), 343–355 | DOI

[8] Soloveichik Yu. G., Royak M. E., Moiseev V. S., Vasilev A. V., “Matematicheskoe modelirovanie na baze metoda konechnykh elementov trekhmernykh elektricheskikh polei v zadachakh elektrorazvedki”, Fizika Zemli, 1997, no. 9, 67–71 | MR

[9] Soloveichik Yu. G., Royak M. E., Moiseev V. S., Trigubovich G. M., “Modelirovanie nestatsionarnykh elektromagnitnykh polei v trekhmernykh sredakh metodom konechnykh elementov”, Fizika Zemli, 1998, no. 10, 78–84