A locally corrected Nyström method for EM scattering with a Fourier mode expansion
| Autor: | Aihua W. Wood, William D. Wood, John L. Fleming |
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| Rok vydání: | 2005 |
| Předmět: |
Series (mathematics)
Mechanical Engineering Computation Mathematical analysis Computational Mechanics General Physics and Astronomy Computer Science Applications symbols.namesake Fourier transform Mechanics of Materials Convergence (routing) symbols Nyström method Multiplication Series expansion Fourier series Mathematics |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering. 194:625-635 |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/j.cma.2004.05.024 |
| Popis: | Computation of corrected weights in the locally corrected Nystrom method is a time consuming procedure. Since the method exhibits high-order convergence properties, the expense of computing the corrected weights is worthwhile when many computations will be performed on a fixed geometry. Such situations occur when solutions are computed over a range of frequencies and when a series of mode solutions in a series expansion are needed. Here an explanation is given as to how corrected weights can be computed once and then reused over a range of frequencies and mode numbers for any fixed body of revolution (BOR) geometry. The corrected weights need not be recomputed but only adjusted by multiplication. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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