A NOVEL SMOOTHING SCHEME OF TEMPORAL BASIS FUNCTION INDEPENDENT METHOD IN MOT BASED TDIE
| Autor: | Qiang Ming Cai, Yu Teng Zheng, Yan Wen Zhao, Miao Miao Jia |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Polynomial
Mathematical analysis 020206 networking & telecommunications Basis function 02 engineering and technology Solver Condensed Matter Physics 01 natural sciences Stability (probability) Electronic Optical and Magnetic Materials Convolution 010101 applied mathematics Singularity Distribution (mathematics) 0202 electrical engineering electronic engineering information engineering 0101 mathematics Algorithm Smoothing Mathematics |
| Zdroj: | Progress In Electromagnetics Research M. 47:57-65 |
| ISSN: | 1937-8726 |
| DOI: | 10.2528/pierm16011703 |
| Popis: | In this paper, a novel numerical temporal convolution method is presented to calculate the convolutions between the retarded-time potentials and temporal basis functions (or its integration, derivation) in marching-on-in-time (MOT) solver. This approach can smooth and eliminate the singularity of integrated functions by variable substitution. It can also effectively control the precision of numerical quadratures over the surface of the source distribution. Thus it is suitable for more types of temporal basis functions, including non-piecewise polynomial functions. Numerical results demonstrate that this improved method can ensure the accuracy and late time stability of the MOT solver with different types of temporal basis functions. |
| Databáze: | OpenAIRE |
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