以受束制之移動最小二乘法求解柏松方程式

賴穎暄

doi:10.6844/NCKU.2013.01842

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以受束制之移動最小二乘法求解柏松方程式

Constrained Moving Least Square Method for Solving Poisson's Equations

賴穎暄 , Masters　　Advisor：王永明　　

繁體中文 DOI： 10.6844/NCKU.2013.01842

移動最小二乘法；無元素法；柏松方程式； moving least square method ； meshless method ； Poisson’s equations

Abstract │ Reference (32) │ Times Cited (1) │ Altmetrics

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In this thesis, the constrained moving least square method is adopted to solve the two-dimensional Poisson’s equations, including the steady-state heat transfer and ideal fluid problems. The feature of this approach is that, by adding suitable constraints with the help of the moving least square approach, the approximate function is constrained to fit the governing equation and boundary conditions. Moreover, the weighted sum of the residuals, which results from the approximation of the field variable, is attempted to be minimized so that the process leads to an interpolation function which is expressed in terms of nodal value of the field variable. The point collocation technique is then introduced to determine the unknown nodal values. 
    In the numerical examples, the Poisson’s equations with different boundary conditions are solved and compared with the exact solutions to examine the accuracy and the rate of convergence of the present method. Moreover the influences of boundary conditions to the numerical accuracy are discussed.

Reference ( 32 ) 〈TOP〉

[1] L. B. Lucy (1977), “A numerical approach to the testing of the fission hypothesis”,The Astron, J.8, 12, pp1013-1024.
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[2] B. Nayroles, G. Touzot and P. Villon(1992), “Generalizing the finite element method diffuse approximation and diffuse elements”, Computational Mechanics, 10,pp 307-318.
連結：
[3] T. Belytschko, L. Gu and Y. Y. Lu (1994), “Fracture and crack growth by element-free Galerkin methods”, Modeling and Simulation in Materials Science
連結：
and Engineering.2 , pp519-534.
連結：
[4] T. Belytschko, Y. Y. Lu (1995), “Element-free galerkin methods for static and dynamic fraxture”,Internationl Journal of Solids and Structures 32,2547-2570.
連結：

Times Cited (1) 〈TOP〉

汪淳竹(2014)。基於狀態變數與Hermite型置點法之移動最小二乘法求解波松問題。成功大學土木工程學系學位論文。2014。1-130。

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