Lysko, Albert A2010-07-162010-07-162010-03Lysko, 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 701-705978-934142-12-71559-9450http://hdl.handle.net/10204/409927th Progress In Electromagnetics Research Symposium (PIERS 2010), Xi'an, China, 22-26 March 2010A 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.enHigher order basis functionsMacro basis functionsBasic functionsLinear basisSinusoidal basisTesting polynomialsFloating point operationsFLOPPIERS 2010ElectromagneticsConference PresentationLysko, A. A. (2010). Method of applying single higher order polynomial basis function over multiple domains. http://hdl.handle.net/10204/4099Lysko, Albert A. "Method of applying single higher order polynomial basis function over multiple domains." (2010): http://hdl.handle.net/10204/4099Lysko AA, Method of applying single higher order polynomial basis function over multiple domains; 2010. http://hdl.handle.net/10204/4099 .TY - Conference Presentation AU - Lysko, Albert A AB - 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. DA - 2010-03 DB - ResearchSpace DP - CSIR KW - Higher order basis functions KW - Macro basis functions KW - Basic functions KW - Linear basis KW - Sinusoidal basis KW - Testing polynomials KW - Floating point operations KW - FLOP KW - PIERS 2010 KW - Electromagnetics LK - https://researchspace.csir.co.za PY - 2010 SM - 978-934142-12-7 SM - 1559-9450 T1 - Method of applying single higher order polynomial basis function over multiple domains TI - Method of applying single higher order polynomial basis function over multiple domains UR - http://hdl.handle.net/10204/4099 ER -