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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 },
pages = {825--848},
publisher = {EDP-Sciences},
volume = {35},
number = {4},
year = {2001},
mrnumber = {1863282},
zbl = {0993.78018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/M2AN_2001__35_4_825_0/}
}
TY - JOUR AU - Rodriguez, Ana Alonso AU - Valli, Alberto TI - Domain decomposition algorithms for time-harmonic Maxwell equations with damping JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2001 SP - 825 EP - 848 VL - 35 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/item/M2AN_2001__35_4_825_0/ LA - en ID - M2AN_2001__35_4_825_0 ER -
%0 Journal Article %A Rodriguez, Ana Alonso %A Valli, Alberto %T Domain decomposition algorithms for time-harmonic Maxwell equations with damping %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2001 %P 825-848 %V 35 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/item/M2AN_2001__35_4_825_0/ %G en %F 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 , Tome 35 (2001) no. 4, pp. 825-848. http://geodesic.mathdoc.fr/item/M2AN_2001__35_4_825_0/