Error analysis of 2-D MoM for MFIE/EFIE/CFIE based on the circular cylinder
作者： C.P. Davis , K.F. Warnick
关键词: Electric-field integral equation 、 Mathematical analysis 、 Integral equation 、 Rate of convergence 、 Moment matrix 、 Moment (mathematics) 、 Numerical integration 、 Mathematics 、 Approximation error 、 Curvature
摘要: … , and geometrical discretization error on the accuracy of … , we derive error estimates analytically for the circular cylinder. For … circular cylinder are empirically compared to computed error …
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sci-hub.se 参考文章(20)
Thomas B. A Senior, Piergiorgio L. E Uslenghi, John J Bowman, Electromagnetic and acoustic scattering by simple shapes Published in <b>1969</b> in Amsterdam by North-Holland. ,(1970)
H. Holm, M. Maischak, E. P. Stephan, The hp-version of the boundary element method for Helmholtz screen problems Computing. ,vol. 57, pp. 105- 134 ,(1996) , 10.1007/BF02276875
Miloslav Feistauer, George C. Hsiao, Ralph E. Kleinman, Asymptotic and a posteriori error estimates for boundary element solutions of hypersingular integral equations SIAM Journal on Numerical Analysis. ,vol. 33, pp. 666- 685 ,(1996) , 10.1137/0733034
S. Amini, S.M. Kirkup, Solution of Helmholtz Equation in the Exterior Domain by Elementary Boundary Integral Methods Journal of Computational Physics. ,vol. 118, pp. 208- 221 ,(1995) , 10.1006/JCPH.1995.1093
Ernst P. Stephan, Boundary integral equations for screen problems in IR3 Integral Equations and Operator Theory. ,vol. 10, pp. 236- 257 ,(1987) , 10.1007/BF01199079
Edward F. Kuester, Computable error bounds for variational functionals of solutions of a convolution integral equations of the first kind Wave Motion. ,vol. 22, pp. 171- 185 ,(1995) , 10.1016/0165-2125(95)00020-J
A. Helaly, H.M. Fahmy, Combined-field integral equation Electronics Letters. ,vol. 29, pp. 1678- 1679 ,(1993) , 10.1049/EL:19931116
M. Maischak, P. Mund, E.P. Stephan, Adaptive multilevel BEM for acoustic scattering Computer Methods in Applied Mechanics and Engineering. ,vol. 150, pp. 351- 367 ,(1997) , 10.1016/S0045-7825(97)00081-9
Martin Costabel, Ernst Stephan, A direct boundary integral equation method for transmission problems Journal of Mathematical Analysis and Applications. ,vol. 106, pp. 367- 413 ,(1985) , 10.1016/0022-247X(85)90118-0
R. KRESS, Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 38, pp. 323- 341 ,(1985) , 10.1093/QJMAM/38.2.323