Iterative Coupling Between The MFS And
Kansa’s Method For Acoustic Problems
Author(s)
L. Godinho, D. Soares Jr., A. Pereira & C. Dors
Abstract
In the present work, a numerical frequency-domain model based on the joint use
of two distinct meshless methods (the Method of Fundamental Solutions and
Kansa’s Method) is discussed. In this context, the MFS is used to model the
homogeneous part of the propagation domain, while the Kansa’s Method is
applied to model the presence of possible heterogeneities. For Kansa’s Method,
the MQ RBF is used, and the optimal value of its free parameter is computed by
minimizing the residual of the PDE throughout the subdomain. The coupling
between the two parts of the propagation domain is performed iteratively,
allowing totally independent spatial discretizations to be used for each of the
sub-domains of the model. Given this strategy, the use of matching collocation
points at common surfaces is not necessary. To improve the behavior of the
iterative process, an optimized algorithm, based on the use of a varying
relaxation parameter, is used to speed up and/or to ensure the convergence of the
iterative coupling. A set of numerical results is here presented to illustrate the
behavior of the proposed strategy in terms of convergence.
Keywords: MFS, Kansa’s method, acoustics, iterative coupling.
Keywords
MFS, Kansa’s method, acoustics, iterative coupling
Related Book
Other papers in this volume
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