%0 Journal Article %T A mortar spectral element method for 3D Maxwell's equations %+ Laboratoire de Mathématiques de Versailles (LMV) %+ Département Ingénierie Mathématique et Informatique, École des Ponts ParisTech (IMI) %A Boulmezaoud, Tahar, Z %A El Rhabi, Mohammed %< avec comité de lecture %@ 0272-4979 %J IMA Journal of Numerical Analysis %I Oxford University Press (OUP) %V 25 %N 3 %P 577 - 610 %8 2005-07-01 %D 2005 %R 10.1093/imanum/dri010 %K Maxwell's equations %K mortar method %K spectral elements %K Galerkin approximations %Z Mathematics [math] %Z Mathematics [math]/Numerical Analysis [math.NA] %Z Computer Science [cs] %Z Computer Science [cs]/Modeling and Simulation %Z Computer Science [cs]/Numerical Analysis [cs.NA]Journal articles %X 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. %G English %2 https://enpc.hal.science/hal-01813484/document %2 https://enpc.hal.science/hal-01813484/file/imajna2005%281%29.pdf %L hal-01813484 %U https://enpc.hal.science/hal-01813484 %~ ENPC %~ CNRS %~ INSMI %~ PARISTECH %~ LM-VERSAILLES %~ UVSQ %~ TDS-MACS %~ GS-MATHEMATIQUES