Reproducing kernel particle method and its modification
Copyright policy )Reproducing kernel particle method and its modification
Summary: Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics. One of their advantages is that they do not require any explicit mesh in computation. This is the reason why they are useful in the case of large deformations, crack propagations and so on. The reproducing kernel particle method (RKPM) is one of meshless methods. In this contribution, we deal with some modifications of the RKPM. The construction of the methods considered is given together with simple examples of their applications to solving boundary value problems.
enriched reproducing kernel particle method, reproducing kernel hierarchical partition of unity, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, meshless method, partition of unity, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, reproducing kernel particle method
enriched reproducing kernel particle method, reproducing kernel hierarchical partition of unity, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, meshless method, partition of unity, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, reproducing kernel particle method
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