KRYLOV’S SUBSPACES ITERATIVE METHODS TO EVALUATE ELECTROSTATIC PARAMETERS
Mario Versaci, Alessandra Jannelli, Giovanni Angiulli and Francesco Carlo Morabito
DOI : 10.3844/ajassp.2014.396.405
American Journal of Applied Sciences
Volume 11, Issue 3
Most of the electromagnetic problems can be stated in terms of an inhomogeneous equation Af = g in which A is a differential, integral or integro-differential operator, g in the exitation source and f is the unknown function to be determined. Methods of Moments (MoM) is a procedure to solve the equation above and, by means of an appropriate choice of the Basis/Testing (B/T), the problem can be translated into an equivalent linear system even of bigger dimensions. In this work we investigate on how the performances of the major Krylov’s subspace iterative solvers are affected by different choice of these sets of functions. More specifically, as a test case, we consider the algebric linear system of equations obtained by an electrostatic problem of evaluation of the capacitance and electrostatic charge distribution in a cylindrical conductor of finite length. Results are compared in terms of analytical/computational complexity and speed of convergence by exploiting three leading iterative methods (GMRES, CGS, BibGStab) and B/T functions of Pulse/Pulse (P/P) and Pulse/Delta (P/D) type.
© 2014 Mario Versaci, Alessandra Jannelli, Giovanni Angiulli and Francesco Carlo Morabito. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.