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
โฆ LIBER โฆ
Meshless thin plate spline methods for the modified Helmholtz equation
โ 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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โฆ 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.
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