Title
Kernel Based Meshless Method: Kernel Based Meshless Method for Solving Illposed and Highdimensional Problems,Used
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In the past decades, the development of meshless methods has become a very active research area. There are basically two types of meshless methods: weak formulation and strong collocation. The weak formulation meshless methods include those novel methods such as Elementfree Galerkin method(EFG), smoothed particle hydrodynamics(SPH), reproducing kernel particle method(RKPM), Smoothing Finite Element Method(SFEM) and Meshless local Petrov Galerkin(MLPG). The strong collocation methods began with the socalled radial basis functions(RBFs) method first developed by Kansa and other collocationtype meshless methods such as boundary knot method, finite point method and the method of fundamental solutions(MFS). These newly established meshless methods have been successfully developed and applied to solve many reallife problems in science and engineering.
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