MESHFREE METHODS AND THEIR COMPARISONS
| Autor: | YuanTong Gu |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Mathematical optimization
Partial differential equation 091307 Numerical Modelling and Mechanical Characterisation 091099 Manufacturing Engineering not elsewhere classified Numerical analysis Finite difference method Finite element method 010300 NUMERICAL AND COMPUTATIONAL MATHEMATICS 080200 COMPUTATION THEORY AND MATHEMATICS 090600 ELECTRICAL AND ELECTRONIC ENGINEERING Computational mechanics numerical methods partial differential equation meshless method meshfree method finite element method boundary element method finite difference method interpolation function comparisons studies Computational Mathematics Computational mechanics Computer Science (miscellaneous) 091308 Solid Mechanics Smoothed finite element method Meshfree methods Boundary element method Mathematics |
| Zdroj: | International Journal of Computational Methods (IJCM) |
| ISSN: | 1793-6969 0219-8762 |
| DOI: | 10.1142/s0219876205000673 |
| Popis: | In recent years, one of the hottest topics in computational mechanics is the meshfree or meshless method. Increasing number of researchers are devoting themselves to the research of the meshfree methods, and a group of meshfree methods have been proposed and used to solve the ordinary differential equations (ODEs) or the partial differential equations (PDE). In the meantime, meshfree methods are being applied to a growing number of practical engineering problems. In this paper, a detailed discussion will be provided on the development of meshfree methods. First, categories of meshfree methods are introduced. Second, the methods for constructing meshfree shape functions are discussed, and the interpolation qualities of them are also studied using the surface fitting. Third, several typical meshfree methods are introduced and compared with each others in terms of their accuracy, convergence and effectivity. Finally, the major technical issues in meshfree methods are discussed, and the future development of meshfree methods is addressed. |
| Databáze: | OpenAIRE |
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