Nodal finite element methods for Maxwell's equations [Eléments finis nodaux pour les équations de Maxwell]
Jamelot, Erell
HAL, hal-00876245 / Harvested from HAL
An original approach of the singular complement method for Maxwell's equations in bounded polygonal domains is presented. A splitting of the electric field à la Moussaoui is proposed: E=ER+λxP, where ER∈H1(ω)², λ depends on the data and domain and xP is known explicitly. The same splitting can used for the magnetic field. No cut-off function is needed and improved error estimates are derived. © 2004 Académie des sciences. Publié par Elsevier SAS. Tous droits réservés.
Publié le : 2004-07-05
Classification:  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
@article{hal-00876245,
     author = {Jamelot, Erell},
     title = {Nodal finite element methods for Maxwell's equations [El\'ements finis nodaux pour les \'equations de Maxwell]},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00876245}
}
Jamelot, Erell. Nodal finite element methods for Maxwell's equations [Eléments finis nodaux pour les équations de Maxwell]. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00876245/