An adaptive domain partitioning technique for meshfree-type methods

An overlapping domain partitioning based on adapting nodes is presented for the meshless-type methods. the decomposition of the domain is carried out based on the distribution of the nodes produced rather than the geometry of the problem. a set of adaptive nodes is first generated using the dimension reduction and equidistributing along the coordinate directions with respect to arc-length monitor. the domain is then partitioned in such a way that the same number of nodes are allocated to the subdomains. a radial basis function collocation method is applied to each subdomain followed by assembling the global solution from the subproblem's solutions. a generalized thin plate spline with sufficient smoothness is used as a basis function in the collocation method. some numerical results will be presented to show the performance of the proposed method. © 2012 kamal shanazari.