A mortar spectral element method for 3D Maxwell's equations

Tahar Z Boulmezaoud (1) , Mohammed El Rhabi (2)

1 LMV - Laboratoire de Mathématiques de Versailles
2 IMI - Département Ingénierie Mathématique et Informatique, École des Ponts ParisTech

In this paper we propose a mortar spectral element method for solving Maxwell's equations in 3D bounded cavities. The method is based on a non-conforming decomposition of the domain into the union of non-overlapping parallelepipeds. After proving an error estimate, we present some 3D computational results which confirm the performance of the method.

Keywords: Maxwell's equations; mortar method; spectral elements; Galerkin approximations

Domains: Mathematics [math]; Numerical Analysis [math.NA]; Computer Science [cs]; Modeling and Simulation; Numerical Analysis [cs.NA]

Tahar Z Boulmezaoud, Mohammed El Rhabi. A mortar spectral element method for 3D Maxwell's equations. IMA Journal of Numerical Analysis, 2005, 25 (3), pp.577 - 610. ⟨10.1093/imanum/dri010⟩. ⟨hal-01813484⟩