Solving Helmholtz problem with a fast numerical strategy based on Toeplitz structure
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 6, Issue 2
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.
Authors and Affiliations
Amamou Manel
Keywords
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- EP ID EP651367
- DOI 10.24297/jam.v6i2.3653
- Views 150
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