Evaluation of hypersingular integrals on curvilinear surface elements
| Autor: | Sencer Koc, Gokhun Selcuk |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Surface (mathematics)
Curvilinear coordinates Mathematical analysis Surface integral 020206 networking & telecommunications 02 engineering and technology Singular integral Electric-field integral equation Integral equation Mathematics::Numerical Analysis Volume integral symbols.namesake 0202 electrical engineering electronic engineering information engineering Taylor series symbols Mathematics |
| Zdroj: | 2016 10th European Conference on Antennas and Propagation (EuCAP). |
| DOI: | 10.1109/eucap.2016.7481236 |
| Popis: | In this study finite part integrals are utilized for evaluation of hypersingular and nearly-hypersingular surface integrals on curvilinear elements. These integrals are related to the second derivative of the free space Green' function and arise in the solution of electric field integral equation (EFIE) via locally corrected Nystrom (LCN) method. The curvilinear elements are represented by the Taylor series expansion of the surface function around the observation point. The hypersingular integral, defined on a curvilinear element, is written as a summation of hypersingular and weakly singular integrals which are defined on a flat surface. Numerical studies show that increased accuracy is obtained for hypersingular integrals on curvilinear elements. |
| Databáze: | OpenAIRE |
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