Evaluating the singular integrals arising in MPIE formulations with a double-exponential algorithm

Novel generalized Cartesian product rules for the computation of weakly singular integrals, arising in the mixed potential integral equation formulations are presented in this paper. The key feature of the proposed integration schemes lies in the incorporation of the double exponential quadrature rule, originally developed by Takahasi and Mori in the mid-seventies for the integration of functions with singularities at the endpoints of the associated integration interval.


Published in:
proc. EuCAP 2010, 4th European Conference on Antennas and Propagation
Presented at:
EuCAP 2010, 4th European Conference on Antennas and Propagation, Barcelona, Spain, April 12-16, 2010
Year:
2010
Publisher:
Barcelona, Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa
Keywords:
Laboratories:




 Record created 2010-01-20, last modified 2018-03-17


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