Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements - Archive ouverte HAL Access content directly
Journal Articles Numerische Mathematik Year : 2009

Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements

(1) , (2) , (2)
1
2

Abstract

A few years ago, Costabel and Dauge proposed a variational setting, which allows one to solve numerically the time-harmonic Maxwell equations in 3D polyhedral geometries, with the help of a continuous approximation of the electromagnetic field. In order to remove spurious eigenmodes, their method required a parameterization of the variational formulation. In order to avoid this difficulty, we use a mixed variational setting instead of the parameterization, which allows us to handle the divergence-free constraint on the field in a straightforward manner. The numerical analysis of the method is carried out, and numerical examples are provided to show the efficiency of our approach. © Springer-Verlag 2009.

Dates and versions

hal-00873069 , version 1 (16-10-2013)

Identifiers

Cite

Annalisa Buffa, Patrick Ciarlet, Erell Jamelot. Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements. Numerische Mathematik, 2009, 113 (4), pp.497-518. ⟨10.1007/s00211-009-0246-2⟩. ⟨hal-00873069⟩
68 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More