Domain Decomposition Algorithms for Time-Harmonic Maxwell Equations with Damping

Ana Alonso Rodriguez; Alberto Valli

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 4, page 825-848
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Rodriguez, Ana Alonso, and Valli, Alberto. "Domain Decomposition Algorithms for Time-Harmonic Maxwell Equations with Damping." ESAIM: Mathematical Modelling and Numerical Analysis 35.4 (2010): 825-848. <http://eudml.org/doc/197554>.

@article{Rodriguez2010,
abstract = { 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. },
author = {Rodriguez, Ana Alonso, Valli, Alberto},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Time-harmonic Maxwell equations; domain decomposition methods; edge finite elements.; time-harmonic Maxwell equations; edge finite elements},
language = {eng},
month = {3},
number = {4},
pages = {825-848},
publisher = {EDP Sciences},
title = {Domain Decomposition Algorithms for Time-Harmonic Maxwell Equations with Damping},
url = {http://eudml.org/doc/197554},
volume = {35},
year = {2010},
}

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
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 4
SP - 825
EP - 848
AB - 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.
LA - eng
KW - Time-harmonic Maxwell equations; domain decomposition methods; edge finite elements.; time-harmonic Maxwell equations; edge finite elements
UR - http://eudml.org/doc/197554
ER -

References

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