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对流扩散方程的无网格解法

A Meshless Method for Convection-diffusion Equation
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摘要 边界节点法是一种将边界积分方程和移动最小二乘近似方案相结合的无网格法,它同时具有边界元法降维和无网格法不需要划分网格的优势.本文提出了一种用边界节点法和径向基函数求解定常对流扩散问题的无网格法. The boundary node method (BNM) is a boundary-only meshless method that combines the moving least-squares (MIS) interpolation scheme with the standard boundary integral equations (BIEs). It retains the meshless of the MLS interpolants and the dimensionality advantage of the BIEs. Based on coupling BNM with radial basis functions, a meshless method is presented for solving stationary convection-diffusion problems. The numerical examples prove the feasibility and efficiency of the proposed method.
作者 杨芬 魏玉明
出处 《湘南学院学报》 2008年第5期50-54,共5页 Journal of Xiangnan University
关键词 对流扩散 边界节点法 径向基函数 无网格法 convection-diffusion boundary node method radial basis function meshless method
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