Author | M. Macri, S. De, M.S. Shephard |
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Title | Hierarchical Tree-Based Discretization for the Method of Finite Spheres |
Year | 2002 |
Journal | Computers and Structures |
Abstract | In this paper we report the development of a geometry-based automatic preprocessing environment for the method of finite spheres; a truly meshfree numerical technique developed for the solution of boundary value problems on geometrically complex domains. Open covers satisfying specified conditions are generated in two and three dimensions by recursive spacial subdivision using quadtrees and octrees, respectively. Techniques of generating open covers for the Galerkin-based as well as the point collocation-based method of finite spheres are presented. |