Title :
Accuracy improvement using a modified Gauss-quadrature for integral methods in electromagnetics
Author :
Schlemmer, E. ; Steffan, J. ; Rucker, W.M. ; Richter, K.R.
Author_Institution :
Inst. for Fundamentals & Theory in Electr. Eng., Graz Univ., of Technol., Austria
fDate :
3/1/1992 12:00:00 AM
Abstract :
A Gaussian quadrature technique for evaluating shape-function-boundary-element kernel produce integrals over three-dimensional isoparametric boundary elements is presented. The procedure allows the integration of singular kernels of O(1/r) on curved surfaces. The integration of the normal derivative of Green´s function is also possible. Integrals which exist in the sense of Cauchy principal values are dealt with using the addition-subtraction technique. The accuracy of the numerical integration scheme is compared with that of the double exponential formula and the subdivision technique. Some examples show the effectiveness of the procedure
Keywords :
Green´s function methods; boundary-elements methods; electromagnetic fields; Cauchy principal values; Green´s function; addition-subtraction technique; curved surfaces; double exponential formula; electromagnetics; integral methods; modified Gauss-quadrature; shape-function-boundary-element kernel produce integrals; subdivision technique; three-dimensional isoparametric boundary elements; Boundary element methods; Gaussian processes; Green´s function methods; Integral equations; Interpolation; Jacobian matrices; Kernel; Polynomials; Shape; Tin;
Journal_Title :
Magnetics, IEEE Transactions on
