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Meshless thin plate spline methods for the modified Helmholtz equation

โœ Scribed by A. Bouhamidi; K. Jbilou


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
706 KB
Volume
197
Category
Article
ISSN
0045-7825

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โœฆ Synopsis


In this paper, we investigate the application of the meshless radial basis function method for solving the Helmholtz equation using thin plate splines. We use a meshless method mixed with a boundary and a fundamental solution methods. The numerical computation is achieved by using the generalized minimal residual (GMRES), the least-square (LSQR) methods associated with Tikhonov regularization.


๐Ÿ“œ SIMILAR VOLUMES


Compact optimal quadratic spline colloca
โœ Graeme Fairweather; Andreas Karageorghis; Jon Maack ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 307 KB

Quadratic spline collocation methods are formulated for the numerical solution of the Helmholtz equation in the unit square subject to non-homogeneous Dirichlet, Neumann and mixed boundary conditions, and also periodic boundary conditions. The methods are constructed so that they are: (a) of optimal