A comparison of two types of macro basis functions defined on LEGO electromagnetic bricks

V. Lancellotti; R. Maaskant

A comparison of two types of macro basis functions defined on LEGO electromagnetic bricks

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

Linear embedding via Green's operators (LEGO) is a domain decomposition method that uses electromagnetic “bricks” to solve wave scattering problems. The algebraic form of the relevant functional equations (which are derived by invoking the surface equivalence principle) is a linear system characterized by a full and possibly large matrix. The size of the system can be effectively reduced by adopting macro basis functions defined on the surface of a brick through 1) the eigencurrents expansion method (EEM) and 2) the Adaptive Cross Approximation (ACA). The two methods lead to the same results, though the ACA macro basis functions are faster to compute.

Original language	English
Title of host publication	Proceedings of the 2015 9th European Conference on Antennas and Propagation (EUCAP), 13-17 May 2015, Lisbon, Portugal
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	1-5
ISBN (Print)	978-88-907018-5-6
Publication status	Published - 2015
Event	9th European Conference on Antennas and Propagation (EuCAP 2015) - Lisbon, Portugal Duration: 13 May 2015 → 17 May 2015 Conference number: 9 http://www.eucap2015.org/

Conference

Conference	9th European Conference on Antennas and Propagation (EuCAP 2015)
Abbreviated title	EuCAP 2015
Country/Territory	Portugal
City	Lisbon
Period	13/05/15 → 17/05/15
Internet address	http://www.eucap2015.org/

1 Article

Extracting surface macro basis functions from low-rank scattering operators with the ACA algorithm
Lancellotti, V., Jul 2016, In: Progress in Electromagnetics Research M. 49, p. 51-60 10 p., 16042803.
Research output: Contribution to journal › Article › Academic › peer-review

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title = "A comparison of two types of macro basis functions defined on LEGO electromagnetic bricks",

abstract = "Linear embedding via Green's operators (LEGO) is a domain decomposition method that uses electromagnetic “bricks” to solve wave scattering problems. The algebraic form of the relevant functional equations (which are derived by invoking the surface equivalence principle) is a linear system characterized by a full and possibly large matrix. The size of the system can be effectively reduced by adopting macro basis functions defined on the surface of a brick through 1) the eigencurrents expansion method (EEM) and 2) the Adaptive Cross Approximation (ACA). The two methods lead to the same results, though the ACA macro basis functions are faster to compute.",

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Lancellotti, V & Maaskant, R 2015, A comparison of two types of macro basis functions defined on LEGO electromagnetic bricks. in Proceedings of the 2015 9th European Conference on Antennas and Propagation (EUCAP), 13-17 May 2015, Lisbon, Portugal. Institute of Electrical and Electronics Engineers, Piscataway, pp. 1-5, 9th European Conference on Antennas and Propagation (EuCAP 2015), Lisbon, Portugal, 13/05/15.

A comparison of two types of macro basis functions defined on LEGO electromagnetic bricks. / Lancellotti, V.; Maaskant, R.
Proceedings of the 2015 9th European Conference on Antennas and Propagation (EUCAP), 13-17 May 2015, Lisbon, Portugal. Piscataway: Institute of Electrical and Electronics Engineers, 2015. p. 1-5.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - Linear embedding via Green's operators (LEGO) is a domain decomposition method that uses electromagnetic “bricks” to solve wave scattering problems. The algebraic form of the relevant functional equations (which are derived by invoking the surface equivalence principle) is a linear system characterized by a full and possibly large matrix. The size of the system can be effectively reduced by adopting macro basis functions defined on the surface of a brick through 1) the eigencurrents expansion method (EEM) and 2) the Adaptive Cross Approximation (ACA). The two methods lead to the same results, though the ACA macro basis functions are faster to compute.

AB - Linear embedding via Green's operators (LEGO) is a domain decomposition method that uses electromagnetic “bricks” to solve wave scattering problems. The algebraic form of the relevant functional equations (which are derived by invoking the surface equivalence principle) is a linear system characterized by a full and possibly large matrix. The size of the system can be effectively reduced by adopting macro basis functions defined on the surface of a brick through 1) the eigencurrents expansion method (EEM) and 2) the Adaptive Cross Approximation (ACA). The two methods lead to the same results, though the ACA macro basis functions are faster to compute.

M3 - Conference contribution

SN - 978-88-907018-5-6

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EP - 5

BT - Proceedings of the 2015 9th European Conference on Antennas and Propagation (EUCAP), 13-17 May 2015, Lisbon, Portugal

PB - Institute of Electrical and Electronics Engineers

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ER -

A comparison of two types of macro basis functions defined on LEGO electromagnetic bricks

Abstract

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Research output

Extracting surface macro basis functions from low-rank scattering operators with the ACA algorithm

Cite this