A note on the choice weighting functions in the method of moments
作者： T. Sarkar
关键词: Zero (complex analysis) 、 Convergence (routing) 、 Mathematical reasoning 、 Domain (mathematical analysis) 、 Weighting 、 Operator (computer programming) 、 Method of moments (statistics) 、 Mathematics 、 Mathematical analysis 、 Galerkin method
摘要: The objective is to show from a mathematical standpoint that there are certain rules must be followed in the choice of weighting functions used method moments (MM). It shown for particular problem it operator dictates (Galerkin's or another such as least squares) applied, and not computational considerations only. For example, solving Hallen's Pocklington's equation by moments, unnatural choose which zero at ends domain solution. deficiency presented based on reasoning, numerical example given illustrate effect rate convergence
harvard.edu
syr.edu参考文章(5)
Tapan K. Sarkar, A note on the variational method (Rayleigh-Ritz), Galerkin's Method, and the method of least squares Radio Science. ,vol. 18, pp. 1207- 1224 ,(1983) , 10.1029/RS018I006P01207
T. Sarkar, A. Djordjevic, E. Arvas, On the choice of expansion and weighting functions in the numerical solution of operator equations IEEE Transactions on Antennas and Propagation. ,vol. 33, pp. 988- 996 ,(1985) , 10.1109/TAP.1985.1143707
Tapan K. Sarkar, The application of the conjugate gradient method for the solution of operator equations arising in electromagnetic scattering from wire antennas Radio Science. ,vol. 19, pp. 1156- 1172 ,(1984) , 10.1029/RS019I005P01156
Tapan K. Sarkar, A study of the various methods for computing electromagnetic field utilizing thin wire integral equations Radio Science. ,vol. 18, pp. 29- 38 ,(1983) , 10.1029/RS018I001P00029
Roger F. Harrington, Tapan Kumar Sarkar, BOUNDARY ELEMENTS AND THE METHOD OF MOMENTS. Springer-Verlag. pp. 31- 40 ,(1983)