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Investigating Low-Rank Approximations for the Finite Element-Boundary Integral Method

Wingren, Niklas LU and Sjöberg, Daniel LU orcid (2023) 17th European Conference on Antennas and Propagation, EuCAP 2023
Abstract

This paper explores acceleration of the finite element-boundary integral hybrid method using the adaptive cross approximation. Our code implementing the hybrid method in Python based on open source packages is briefly presented. A simple one-level version of the adaptive cross approximation is described and it is used to accelerate the boundary integral matrices. We present results for scattering against a dielectric sphere with a comparison to analytical results for verification. We also present results for scattering against cylinders with varying length, where cylinders were selected as a simplification of wind turbine blades. Comparisons between a full matrix assembly and the acceleration method show that significant compression can... (More)

This paper explores acceleration of the finite element-boundary integral hybrid method using the adaptive cross approximation. Our code implementing the hybrid method in Python based on open source packages is briefly presented. A simple one-level version of the adaptive cross approximation is described and it is used to accelerate the boundary integral matrices. We present results for scattering against a dielectric sphere with a comparison to analytical results for verification. We also present results for scattering against cylinders with varying length, where cylinders were selected as a simplification of wind turbine blades. Comparisons between a full matrix assembly and the acceleration method show that significant compression can be achieved, even with a simple acceleration scheme. We also present the monostatic radar cross-section for the largest cylinder computed for multiple angles of incidence.

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Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
acceleration methods, adaptive cross approximation, computational electromagnetics, hybrid methods, open source software
host publication
17th European Conference on Antennas and Propagation, EuCAP 2023
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
17th European Conference on Antennas and Propagation, EuCAP 2023
conference location
Florence, Italy
conference dates
2023-03-26 - 2023-03-31
external identifiers
  • scopus:85162241513
ISBN
9788831299077
DOI
10.23919/EuCAP57121.2023.10133141
language
English
LU publication?
yes
id
8fddcccd-5278-409a-bc84-3601228a9fe2
date added to LUP
2023-10-30 10:42:32
date last changed
2023-11-21 23:49:14
@inproceedings{8fddcccd-5278-409a-bc84-3601228a9fe2,
  abstract     = {{<p>This paper explores acceleration of the finite element-boundary integral hybrid method using the adaptive cross approximation. Our code implementing the hybrid method in Python based on open source packages is briefly presented. A simple one-level version of the adaptive cross approximation is described and it is used to accelerate the boundary integral matrices. We present results for scattering against a dielectric sphere with a comparison to analytical results for verification. We also present results for scattering against cylinders with varying length, where cylinders were selected as a simplification of wind turbine blades. Comparisons between a full matrix assembly and the acceleration method show that significant compression can be achieved, even with a simple acceleration scheme. We also present the monostatic radar cross-section for the largest cylinder computed for multiple angles of incidence.</p>}},
  author       = {{Wingren, Niklas and Sjöberg, Daniel}},
  booktitle    = {{17th European Conference on Antennas and Propagation, EuCAP 2023}},
  isbn         = {{9788831299077}},
  keywords     = {{acceleration methods; adaptive cross approximation; computational electromagnetics; hybrid methods; open source software}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Investigating Low-Rank Approximations for the Finite Element-Boundary Integral Method}},
  url          = {{http://dx.doi.org/10.23919/EuCAP57121.2023.10133141}},
  doi          = {{10.23919/EuCAP57121.2023.10133141}},
  year         = {{2023}},
}