A New Meshless Method to Solve Boundary-value Problems
نویسندگان
چکیده
This paper presents a new family of meshless methods for the solution of boundary-value problems. In the h-p cloud method, the solution space is composed of radial basis functions associated with a set of nodes arbitrarily placed in the domain. The paper describes the construction of the h-p cloud functions using a signed partition of unity and how h, p or h-p reenements can be implemented without a mesh. The h-p cloud functions and the Galerkin method are used to solve a two dimensional boundary-value problem. Some properties of the h-p cloud functions are also discussed.
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