Solving Helmholtz problem with a fast numerical strategy based on Toeplitz structure

Authors

  • Amamou Manel University Tunis-El Manar

DOI:

https://doi.org/10.24297/jam.v6i2.3653

Keywords:

Helmholtz equation, Toeplitz matrix, complex linear system, numerical strategy.

Abstract

This paper develops primarily an analytical solution for sound, electromagnetic or any other wave propagation described by the Helmholtz equation in the case of N circular obstacles. Then, it proposes a fast iterative numerical method, using Toeplitz block structure, for computing the solution of a complex, dense and large linear system. Finally, it shows the efficiency of this numerical strategy via a numerical study of the convergence rate with respect to different geometrical parameters of the problem.

Downloads

Download data is not yet available.

Author Biography

Amamou Manel, University Tunis-El Manar

Faculty of Science Mathematics Physics and Natural of Tunis

Downloads

Published

2014-02-10

How to Cite

Manel, A. (2014). Solving Helmholtz problem with a fast numerical strategy based on Toeplitz structure. JOURNAL OF ADVANCES IN MATHEMATICS, 6(2), 970–987. https://doi.org/10.24297/jam.v6i2.3653

Issue

Section

Articles