A domain decomposition method for solving 3-D complex structures

V. Lancellotti; B.P. Hon, de; A.G. Tijhuis

doi:10.1109/ICEAA.2011.6046347

A domain decomposition method for solving 3-D complex structures

V. Lancellotti, B.P. Hon, de, A.G. Tijhuis

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

4 Citations (Scopus)

Abstract

Linear embedding via Green's operators (LEGO) is a domain decomposition method for solving electromagnetic problems which involve composite 3-D structures. By combining the standard Method of Moments with a set of macro basis functions obtained through the Arnoldi iteration, the algebraic system of LEGO can be effectively compressed. However, under general circumstances it is not easy to choose the minimum number of macro basis functions for a given level of accuracy, since many physical and geometrical factors come into play. To shed light on this topic, we discuss a few examples with a focus on the convergence of the numerical solution.

Original language	English
Title of host publication	Proceedings of the 2011 International Conference on Electromagnetics in Advanced Applications (ICEAA '11), September 12-17, 2011, Turin, Italy
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	195-198
ISBN (Print)	978-1-61284-976-8
DOIs	https://doi.org/10.1109/ICEAA.2011.6046347
Publication status	Published - 2011

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Lancellotti, V., Hon, de, B. P., & Tijhuis, A. G. (2011). A domain decomposition method for solving 3-D complex structures. In Proceedings of the 2011 International Conference on Electromagnetics in Advanced Applications (ICEAA '11), September 12-17, 2011, Turin, Italy (pp. 195-198). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICEAA.2011.6046347

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abstract = "Linear embedding via Green's operators (LEGO) is a domain decomposition method for solving electromagnetic problems which involve composite 3-D structures. By combining the standard Method of Moments with a set of macro basis functions obtained through the Arnoldi iteration, the algebraic system of LEGO can be effectively compressed. However, under general circumstances it is not easy to choose the minimum number of macro basis functions for a given level of accuracy, since many physical and geometrical factors come into play. To shed light on this topic, we discuss a few examples with a focus on the convergence of the numerical solution.",

author = "V. Lancellotti and {Hon, de}, B.P. and A.G. Tijhuis",

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doi = "10.1109/ICEAA.2011.6046347",

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Lancellotti, V, Hon, de, BP & Tijhuis, AG 2011, A domain decomposition method for solving 3-D complex structures. in Proceedings of the 2011 International Conference on Electromagnetics in Advanced Applications (ICEAA '11), September 12-17, 2011, Turin, Italy. Institute of Electrical and Electronics Engineers, Piscataway, pp. 195-198. https://doi.org/10.1109/ICEAA.2011.6046347

A domain decomposition method for solving 3-D complex structures. / Lancellotti, V.; Hon, de, B.P.; Tijhuis, A.G.

Proceedings of the 2011 International Conference on Electromagnetics in Advanced Applications (ICEAA '11), September 12-17, 2011, Turin, Italy. Piscataway : Institute of Electrical and Electronics Engineers, 2011. p. 195-198.

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

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Lancellotti V, Hon, de BP, Tijhuis AG. A domain decomposition method for solving 3-D complex structures. In Proceedings of the 2011 International Conference on Electromagnetics in Advanced Applications (ICEAA '11), September 12-17, 2011, Turin, Italy. Piscataway: Institute of Electrical and Electronics Engineers. 2011. p. 195-198 https://doi.org/10.1109/ICEAA.2011.6046347

A domain decomposition method for solving 3-D complex structures

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