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本帖最后由 三T上人 于 2016-7-22 17:12 编辑 <br /><br />自然邻接伽辽金方法的概览和当前进展:数值计算的内容,希望大家喜欢。
Summary
In this paper, a survey of the most relevant advances in natural neighbour Galerkin methods is presented. In
these methods (also known as natural element methods, NEM), the Sibson and the Laplace (non-Sibsonian)
interpolation schemes are used as trial and test functions in a Galerkin procedure. Natural neighbour-based
methods have certain unique features among the wide family of so-called meshless methods: a well-de?ned
and robust approximation with no user-de?ned parameters on non-uniform grids, and the ability to exactly
impose essential (Dirichlet) boundary conditions are particularly noteworthy.
A comprehensive review of the method is conducted, including a description of the Sibson and the Laplace
interpolants in two- and three-dimensions. Application of the NEM to linear and non-linear problems
in solid as well as ?uid mechanics is studied. Other issues that are pertinent to the vast majority of
meshless methods, such as numerical quadrature, imposing essential boundary conditions, and the handling
of secondary variables are also addressed. The paper is concluded with some benchmark computations that
demonstrate the accuracy and the key advantages of this numerical method.
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nem_reviewproofs.part03.rar
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nem_reviewproofs.part04.rar
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nem_reviewproofs.part05.rar
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nem_reviewproofs.part06.rar
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nem_reviewproofs.part07.rar
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nem_reviewproofs.part08.rar
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nem_reviewproofs.part02.rar
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nem_reviewproofs.part01.rar
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