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Meshless boundary integral equations with equilibrium satisfaction

机译:具有平衡满足性的无网格边界积分方程

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摘要

A known feature of any mixed interpolation boundary integral equations (BIE)-based methods is that equilibrium is not generally guaranteed in the numerical solution. Here, a complete meshless technique, based on the boundary element-free method (BEFM) with complete equilibrium satisfaction for 2D elastostatic analysis is proposed. The BEFM adopted is a meshless method based on boundary integral equations such as local boundary integral equation (LBIE) method and boundary node method (BNM), differing from them with respect to the integration domain and the approximation scheme.
机译:任何基于混合插值边界积分方程(BIE)的方法的一个已知特征是,在数值解中通常不能保证平衡。在此,提出了一种基于二维平衡弹性分析的完全平衡满足的无边界完全无网格技术。所采用的BEFM是一种基于边界积分方程的无网格方法,例如局部边界积分方程(LBIE)方法和边界节点方法(BNM),它们在积分域和近似方案方面有所不同。

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