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Smooth point interpolation meshless method and its application in engineering mechanics

Author: PengJinXiao
Tutor: XuXu
School: Jilin University
Course: Applied Mathematics
Keywords: Meshless method Point Interpolation Method Strain energy Smooth strain HPF Convergence
CLC: O241.82
Type: Master's thesis
Year: 2011
Downloads: 48
Quote: 0
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Abstract


This article focuses on the non -grid method , as well as point interpolation meshless method research background , research content, strain smoothing techniques. Point interpolation method is a meshless method , easy to apply the essential boundary conditions , and the finite element method (FEM) has a very good combination. Based on the finite element method some processing techniques can be applied through small changes point interpolation method . This paper introduces the meshless method , especially point interpolation meshless method research background , research content, strain smoothing techniques. The main work is to : combine FEM and strain smoothing technique presents a new smooth point interpolation meshless method (HPF), the method of \field ; thus calculated strain energy between the strain energy and the finite element \of the \When using the same grid, the solution of the finite element method to obtain exact numerical solution is a lower bound , NS-PIM is obtained by numerical solution of the exact solution , while the HPF method of strain energy is located between the first two methods of solution closer to a precise numerical solution . This article gives a few numerical examples to illustrate the effectiveness of this method and convergence .

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
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