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A boundary point interpolation method (BPIM) using radial function basis

机译:使用径向函数的边界点插值方法(BPIM)

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The Boundary Point Interpolation Method (BPIM) is an effective boundary type meshless method for solving boundary value problems of solid mechanics. In this paper, a BPIM formulation using a radial function as basis is presented. In the present BPIM, the boundary of problem domain is represented by properly scattered nodes, and the Boundary Integral Equation (BIE) for 2-D elastostatics is discretized using interpolants with radial function basis. The shape functions are formulated using a group of arbitrarily distributed boundary nodes and possess delta function property. The boundary conditions can be implemented with ease as in the conventional Boundary Element Method (BEM). The validity and efficiency of the present LPIM are demonstrated through a number of examples.
机译:边界点插值方法(BPIM)是一种用于解决固体力学边值问题的有效边界型网状方法。本文介绍了使用径向功能的BPIM配方。在本发明的BPIM中,问题域的边界由适当散射的节点表示,并且使用具有径向函数的内插器离散化2-D Eleastostatics的边界积分方程(BIE)。使用一组任意分布的边界节点和具有Delta函数属性的组配制。边界条件可以随着传统边界元方法(BEM)轻松实现。通过许多实施例证明了本LPIM的有效性和效率。

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