Multilevel MDA-CBI for fast direct solution of large scattering and radiation problems

Multilevel MDA-CBI for fast direct solution of large scattering and radiation problems

This paper presents the multilevel MDA-CBI method for accelerated direct solution of scattering and radiation problems with the method of moments. The method has all the advantages of a direct solution (no convergence issues, very little marginal cost per excitation vector). For a medium size proble...

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Hauptverfasser: Heldring, A., Rius, J.M., Tamayo, J.M., Parron, J.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Acceleration
Computational complexity
Costs
Electromagnetic scattering
Geometry
Impedance
Iterative methods
Linear systems
Matrix decomposition
Vectors
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Beschreibung
Zusammenfassung:This paper presents the multilevel MDA-CBI method for accelerated direct solution of scattering and radiation problems with the method of moments. The method has all the advantages of a direct solution (no convergence issues, very little marginal cost per excitation vector). For a medium size problem of about 70.000 unknowns it performs some 25 % better than the one level algorithm, but this advantage is expected to grow for larger problems since the computational complexity is considerably better, with a theoretically attainable value of N 5/3 log 2 N.
ISSN:1522-3965
DOI:10.1109/APS.2007.4396818