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Method of applying single higher order polynomial basis function over multiple domains

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dc.contributor.author Lysko, Albert A
dc.date.accessioned 2010-07-16T13:29:09Z
dc.date.available 2010-07-16T13:29:09Z
dc.date.issued 2010-03
dc.identifier.citation Lysko, A.A. 2010.Method of applying single higher order polynomial basis function over multiple domains. 27th Progress In Electromagnetics Research Symposium (PIERS 2010), Xi'an, China, 22-26 March 2010, pp 701-705 en
dc.identifier.isbn 978-934142-12-7
dc.identifier.issn 1559-9450
dc.identifier.uri http://hdl.handle.net/10204/4099
dc.description 27th Progress In Electromagnetics Research Symposium (PIERS 2010), Xi'an, China, 22-26 March 2010 en
dc.description.abstract A novel method has been devised where one set of higher order polynomial-based basis functions can be applied over several wire segments, thus permitting to decouple the number of unknowns from the number of segments, and so from the geometrical approximation accuracy. The method extends the current state of art from using the composite piecewise uniform, linear and sinusoidal basis and testing functions onto polynomials. The method has been derived within the framework of a method of moments (MoM) with higher-order polynomial basis functions, and applied to a surface form of the electrical field integral equation, under thin wire approximation. The main advantage of the proposed method is in permitting to reduce the required number of unknowns when modelling curved structures and structures including electrically small features. Derivation of the computational complexity in terms of floating point operations (FLOP) showed a possible speed gain nearly an order of the number of unknowns of direct MoM. en
dc.language.iso en en
dc.subject Higher order basis functions en
dc.subject Macro basis functions en
dc.subject Basic functions en
dc.subject Linear basis en
dc.subject Sinusoidal basis en
dc.subject Testing polynomials en
dc.subject Floating point operations en
dc.subject FLOP en
dc.subject PIERS 2010 en
dc.subject Electromagnetics en
dc.title Method of applying single higher order polynomial basis function over multiple domains en
dc.type Conference Presentation en


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