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Eigenvalue-analysis and longtime-stability of resonant structures for the meshless radial point interpolation method in time-domain
ETH Zurich, Switzerland.
ETH Zurich, Switzerland.
University of Adelaide, Australia.
ETH Zurich, Switzerland.
2010 (English)In: IEEE transactions on microwave theory and techniques, ISSN 0018-9480, E-ISSN 1557-9670, Vol. 58, no 12, p. 3399-3408Article in journal (Refereed) Published
Abstract [en]

A meshless collocation method based on radial basis function (RBF) interpolation is presented for the numerical solution of Maxwell's equations. RBFs have attractive properties such as theoretical exponential convergence for increasingly dense node distributions. Although the primary interest resides in the time domain, an eigenvalue solver is used in this paper to investigate convergence properties of the RBF interpolation method. The eigenvalue distribution is calculated and its implications for longtime stability in time-domain simulations are established. It is found that eigenvalues with small, but nonzero, real parts are related to the instabilities observed in time-domain simulations after a large number of time steps. Investigations show that by using global basis functions, this problem can be avoided. More generally, the connection between the high matrix condition number, accuracy, and the magnitude of nonzero real parts is established.

Place, publisher, year, edition, pages
IEEE, 2010. Vol. 58, no 12, p. 3399-3408
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Physics, Electrotechnology
Identifiers
URN: urn:nbn:se:lnu:diva-81953DOI: 10.1109/TMTT.2010.2081250OAI: oai:DiVA.org:lnu-81953DiVA, id: diva2:1304758
Available from: 2019-04-13 Created: 2019-04-13 Last updated: 2019-05-07Bibliographically approved

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Engström, Christian

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  • asciidoc
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