Title :
Advanced Numerical Schemes for the Accurate Evaluation of 4-D Reaction Integrals in the Method of Moments
Author :
Vipiana, Francesca ; Wilton, Donald R. ; Johnson, W.A.
Author_Institution :
Dept. of Electron. & Telecommun., Politec. di Torino, Turin, Italy
Abstract :
In this paper, we present a simple and efficient fully numerical technique for the evaluation of 4-D reaction integrals arising in the method of moments. In the proposed approach, the accuracy of the source integration, which uses a singularity cancellation scheme, is retained in the final 4-D reaction integral through the application of an appropriate variable transformation and numerical quadrature scheme to the test integral. Several numerical results compared to the usual Gauss-Legendre test quadrature demonstrate the accuracy of the method for both planar and curvilinear discretizations. Moreover, the proposed scheme is independent of test basis functions; hence, it can be used for higher order basis functions as well as curl-conforming or Buffa- Christiansen test basis functions.
Keywords :
integral equations; method of moments; 4-D reaction integrals; Buffa-Christiansen test basis functions; Gauss-Legendre test quadrature; method of moments; numerical quadrature scheme; numerical technique; singularity cancellation scheme; source integration; Accuracy; Integral equations; Kernel; Magnetic domains; Method of moments; Standards; Transforms; Integral equations; moment methods;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2013.2277864