New and more efficient formulation of MLMDA for arbitrary 3D antennas and scatterers

The Multilevel Matrix Decomposition Algorithm (MLMDA) was originally developed by Michielsen and Boag for 2-D TMz scattering problems and later implemented in 3-D by Rius et al. The 3-D MLMDA was particularly efficient and accurate for piece-wise planar objects such as printed antennas. However, for...

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Published in:2006 First European Conference on Antennas and Propagation pp. 1 - 6
Main Authors: Rius, J.M., Heldring, A., Tamayo, J.M., Parron, J.
Format: Conference Proceeding
Language:English
Published: IEEE 01.11.2006
Subjects:
Green's function methods
Impedance
Integral equations
Iterative algorithms
Iterative methods
Matrix decomposition
Microstrip antenna arrays
MLFMA
Scattering
Transmission line matrix methods
ISBN:9290929375, 9789290929376
ISSN:2164-3342
Online Access:Get full text
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Abstract The Multilevel Matrix Decomposition Algorithm (MLMDA) was originally developed by Michielsen and Boag for 2-D TMz scattering problems and later implemented in 3-D by Rius et al. The 3-D MLMDA was particularly efficient and accurate for piece-wise planar objects such as printed antennas. However, for arbitrary 3-D problems it was not as efficient as the Multilevel Fast Multipole Algorithm (MLFMA). This paper will introduce some improvements in 3-D MLMDA, like new placement of equivalent functions and SVD post-compression, that make it comparable with MLFMA in terms of computation time and memory requirements, but more accurate.
AbstractList The Multilevel Matrix Decomposition Algorithm (MLMDA) was originally developed by Michielsen and Boag for 2-D TMz scattering problems and later implemented in 3-D by Rius et al. The 3-D MLMDA was particularly efficient and accurate for piece-wise planar objects such as printed antennas. However, for arbitrary 3-D problems it was not as efficient as the Multilevel Fast Multipole Algorithm (MLFMA). This paper will introduce some improvements in 3-D MLMDA, like new placement of equivalent functions and SVD post-compression, that make it comparable with MLFMA in terms of computation time and memory requirements, but more accurate.
Author Tamayo, J.M.
Parron, J.
Rius, J.M.
Heldring, A.
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  organization: Dept. of Signal Theor. & Commun., Univ. Politcnica de Catalunya - UPC, Barcelona
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  givenname: A.
  surname: Heldring
  fullname: Heldring, A.
  organization: Dept. of Signal Theor. & Commun., Univ. Politcnica de Catalunya - UPC, Barcelona
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  givenname: J.M.
  surname: Tamayo
  fullname: Tamayo, J.M.
  organization: Dept. of Signal Theor. & Commun., Univ. Politcnica de Catalunya - UPC, Barcelona
– sequence: 4
  givenname: J.
  surname: Parron
  fullname: Parron, J.
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Snippet The Multilevel Matrix Decomposition Algorithm (MLMDA) was originally developed by Michielsen and Boag for 2-D TMz scattering problems and later implemented in...
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SubjectTerms Green's function methods
Impedance
Integral equations
Iterative algorithms
Iterative methods
Matrix decomposition
Microstrip antenna arrays
MLFMA
Scattering
Transmission line matrix methods
Title New and more efficient formulation of MLMDA for arbitrary 3D antennas and scatterers
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