Iterative leap-field domain decomposition method: a domain decomposition finite element algorithm for 3D electromagnetic boundary value problems

The authors introduce the iterative leap-field domain decomposition method that is tailored to the finite element method, by combining the concept of domain decomposition and the Huygens' Principle. In this method, a large-scale electromagnetic boundary value problem is partitioned into a numbe...

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Bibliographic Details
Published in:IET microwaves, antennas & propagation Vol. 4; no. 4; pp. 543 - 552
Main Authors: Ozgun, O., Kuzuoglu, M.
Format: Journal Article
Language:English
Published: Stevenage Institution of Engineering and Technology 01.04.2010
The Institution of Engineering & Technology
Subjects:
Applied classical electromagnetism
Applied sciences
Boundary value problems
Computation
Diffraction, scattering, reflection
Domain decomposition
Domain decomposition methods
Electromagnetic wave propagation, radiowave propagation
Electromagnetism; electron and ion optics
Exact sciences and technology
Finite element method
Fundamental areas of phenomenology (including applications)
Iterative methods
Mathematical analysis
Mathematical models
Physics
Radiocommunications
Radiowave propagation
Telecommunications
Telecommunications and information theory
Electromagnetic wave scattering
Electromagnetism
Background
Equivalent current
Decomposition method
Iterative method
Numerical method
Algorithm
Electromagnetic wave
Finite element method
Computation time
Perfectly matched layer
Three dimensional model
Boundary value problem
Electromagnetic wave propagation
Wave scattering
Parallel processing
Numerical simulation
Huygens principle
Large scale
Domain decomposition
ISSN:1751-8725, 1751-8733
Online Access:Get full text
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Summary:The authors introduce the iterative leap-field domain decomposition method that is tailored to the finite element method, by combining the concept of domain decomposition and the Huygens' Principle. In this method, a large-scale electromagnetic boundary value problem is partitioned into a number of suitably-defined small and manageable subproblems whose solutions are assembled to obtain the global solution. The main idea of the method is the iterative application of the Huygens' Principle to the fields radiated by the equivalent currents calculated in each iteration. In the context of the electromagnetic scattering, the method can be applied to cases involving multiple objects, as well as to a single challenging object in a straightforward manner via the locally conformal perfectly matched layer technique. The most attractive feature of the method is the considerable reduction in the memory requirements and computation time. It is observed that convergence is achieved after a few iterations and computation time may further be reduced via parallel processing techniques.
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ISSN:1751-8725
1751-8733
DOI:10.1049/iet-map.2008.0446