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  4. A Fast Direct Solver for Higher Order Discretizations of Integral Equations
 
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conference paper

A Fast Direct Solver for Higher Order Discretizations of Integral Equations

Gæde, Martin H.
•
Andersen, Martin S.
•
Limkilde, Asger
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2024
IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting

This paper presents a fast direct solver for the Combined Field Integral Equation using higher-order discretizations. By adopting higher-order polynomials with the Method of Moments, the number of unknowns is significantly reduced. The fast direct solver leverages the efficiency of the Multi Level Fast Multipole Method by combining it with randomized linear algebra to construct low-rank approximations in a H2 format. The proposed method is fully error controllable and achieves a setup time with computational complexity of O(r3 log N). Numerical results for the scattering problem of a sphere demonstrate high accuracy, and the efficiency is demonstrated on the NASA Almond.

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Type
conference paper
DOI
10.1109/AP-S/INC-USNC-URSI52054.2024.10686430
Scopus ID

2-s2.0-85207100504

Author(s)
Gæde, Martin H.
•
Andersen, Martin S.
•
Limkilde, Asger
•
Borries, Oscar
•
Hesthaven, Jan S.  
Date Issued

2024

Publisher

Institute of Electrical and Electronics Engineers Inc.

Published in
IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISBN of the book

9798350369908

Start page

497

End page

498

Peer reviewed

REVIEWED

Written at

EPFL

Event nameEvent acronymEvent placeEvent date
IEEE International Symposium on Antennas and Propagation and INC/USNCURSI Radio Science Meeting

Florence, Italy

2024-07-14 - 2024-07-19

Available on Infoscience
January 26, 2025
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/244967
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