Non-overlapping domain decomposition scheme for the symmetric radial basis function meshless approach with double collocation at the sub-domain interfaces

H. Power, A. Hernandez, A. La Rocca
2007 WIT Transactions on Modelling and Simulation   unpublished
In the particular case of solving large-scale boundary value problems, the computational cost derived as a result of the application of any numerical scheme represents a determinant factor in the determination of its computational efficiency. The present work studies the influence of the non-overlapping domain decomposition on the symmetric radial basis collocation method, as a way to improve its efficiency under high demanding numerical conditions. Due to the Hermitian character of the
more » ... c scheme at each of the collocations points of the sub-domain interfaces it is possible to impose simultaneously all the corresponding matching conditions. A multi-zone problem is considered as a test example, comparison between the numerical result and the analytical solution for two set of different physical parameters are presented.
doi:10.2495/be070021 fatcat:xcx7xnhtszb65i3emin53lwhjq