The use of RBF on the meshless Localized Regular Dual Reciprocity Method (LRDRM)

CARUSO NAHUEL DOMINGO; PORTAPILA MAGARITA ISABEL

Providence

Workshop; Localized Kernel-Based Meshless Methods for Partial Differential Equations; 2017

Institute for Computational and Experimental Research in Mathematics (ICERM)

In this poster we present a local integral method (The Local Regular Dual Reciprocity Method, LRDRM) which uses a local Radial Basis Function (RBF) Interpolation. The first version of this method exploits two advantages, it imposes the boundary conditions at the local RBF interpolation and the integrals to compute are always regular. The second one presents an enhancement where the local RBF interpolation themselves satisfy the partial differential equation to be solved. Finally we implement a new integral approach using the corresponding Dirichlet Green?s Function (DGF) that allows the collocation at more than one point, permitting theimplementation of a p-adaptive scheme.