Accurate and efficient algorithms for boundary element methods in electromagnetic scattering: A tribute to the work of F. Olyslager

Boundary element methods (BEMs) are an increasingly popular approach to model electromagnetic scattering both by perfect conductors and dielectric objects. Several mathematical, numerical, and computational techniques pullulated from the research into BEMs, enhancing its efficiency and applicability...

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Bibliographic Details
Published in:Radio science Vol. 46; no. 5
Main Authors: Cools, K., Bogaert, I., Fostier, J., Peeters, J., Vande Ginste, D., Rogier, H., De Zutter, D.
Format: Journal Article
Language:English
Published: Washington Blackwell Publishing Ltd 01.10.2011
Subjects:
Algorithms
boundary element method
boundary integral equation
Electromagnetics
fast multipole methods
Methods
parallelization
preconditioning
scattering
Theory
ISSN:0048-6604, 1944-799X
Online Access:Get full text
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Summary:Boundary element methods (BEMs) are an increasingly popular approach to model electromagnetic scattering both by perfect conductors and dielectric objects. Several mathematical, numerical, and computational techniques pullulated from the research into BEMs, enhancing its efficiency and applicability. In designing a viable implementation of the BEM, both theoretical and practical aspects need to be taken into account. Theoretical aspects include the choice of an integral equation for the sought after current densities on the geometry's boundaries and the choice of a discretization strategy (i.e. a finite element space) for this equation. Practical aspects include efficient algorithms to execute the multiplication of the system matrix by a test vector (such as a fast multipole method) and the parallelization of this multiplication algorithm that allows the distribution of the computation and communication requirements between multiple computational nodes. In honor of our former colleague and mentor, F. Olyslager, an overview of the BEMs for large and complex EM problems developed within the Electromagnetics Group at Ghent University is presented. Recent results that ramified from F. Olyslager's scientific endeavors are included in the survey. Key Points F. Olyslager had a significant impact on today's BIEs for electromagnetics
Bibliography:istex:18F12499522F383C5A21E98A32BBA39EADA8323B
ark:/67375/WNG-9VB829R9-4
ArticleID:2010RS004636
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0048-6604
1944-799X
DOI:10.1029/2010RS004636