Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.
@article{M2AN_2001__35_4_825_0, author = {Rodriguez, Ana Alonso and Valli, Alberto}, title = {Domain decomposition algorithms for time-harmonic Maxwell equations with damping}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {35}, year = {2001}, pages = {825-848}, mrnumber = {1863282}, zbl = {0993.78018}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_2001__35_4_825_0} }
Rodriguez, Ana Alonso; Valli, Alberto. Domain decomposition algorithms for time-harmonic Maxwell equations with damping. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 35 (2001) pp. 825-848. http://gdmltest.u-ga.fr/item/M2AN_2001__35_4_825_0/
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