Research Article Open Access

KRYLOV’S SUBSPACES ITERATIVE METHODS TO EVALUATE ELECTROSTATIC PARAMETERS

Mario Versaci1, Alessandra Jannelli2, Giovanni Angiulli3 and Francesco Carlo Morabito1
  • 1 Department of DICEAM, Università “Mediterranea”, Reggio Calabria, Italy
  • 2 Department of Mathematics and Computer Science, University of Messina, Messina, Italy
  • 3 Department of DIIES, Università “Mediterranea”, Reggio Calabria, Italy

Abstract

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.

American Journal of Applied Sciences
Volume 11 No. 3, 2014, 396-405

DOI: https://doi.org/10.3844/ajassp.2014.396.405

Submitted On: 16 December 2013 Published On: 4 January 2014

How to Cite: Versaci, M., Jannelli, A., Angiulli, G. & Morabito, F. C. (2014). KRYLOV’S SUBSPACES ITERATIVE METHODS TO EVALUATE ELECTROSTATIC PARAMETERS. American Journal of Applied Sciences, 11(3), 396-405. https://doi.org/10.3844/ajassp.2014.396.405

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Keywords

  • Krylov’s Subspaces
  • Electrostatic Parameters