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The applications of meshless methods in the analysis of composite structures are discussed in Section 4, including static and dynamic analysis, free vibration, buckling, and non-linear analysis.
The product PU functions constructed by this method are the closed form smooth piecewise polynomials with flat-top and could handle background meshes (general polygonal patches as well as general polyhedral patches) arising in practical applications of meshless methods.
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In this work, an adaptive technique for application of meshless methods in one- and two-dimensional boundary value problems is described.
A lot of meshless methods were built and published in last years.
A variety of Meshless methods are under intense research for the development of solution for many engineering problems.
The name of this improved method is element free Galerkin (EFG) method which is classified in the category of meshless methods.
The recent advance in the development of various kinds of meshless methods for solving partial differential equations has drawn attention of many researchers in science and engineering.
This method belongs to one kind of meshless methods since only collocation points on the real boundary are required.
In this paper, a new class of meshless methods based on local collocation and B-spline basis functions is presented for solving elliptic problems.
So far, a number of meshless methods have been developed and applied to solve problems in various fields of engineering, including solid mechanics and geotechnical problems.
The main advantage of meshless methods is the fact that the interpolation accuracy is not significantly affected by the nodal distribution.
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