A Kernel-Enriched Quadratic Convex Meshfree Approximation

Peng Jie Chen; Dong Dong Wang

doi:10.4028/www.scientific.net/AMM.444-445.85

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 444-445A Kernel-Enriched Quadratic Convex Meshfree...

A Kernel-Enriched Quadratic Convex Meshfree Approximation

Abstract:

Convex meshfree approximation with non-negative shape functions yields strict positive mass matrix and is particularly favorable for dynamic analysis. In this work, a kernel-enriched quadratic convex meshfree formulation with adjustable local approximation feature is presented. This formulation is built upon the generalized meshfree approximation with a relaxed quadratic reproducing condition. The resulting shape functions of the kernel-enriched quadratic convex meshfree formulation are presented in detail. The convergence behaviors for both static and vibration problems are discussed. Numerical results show that better accuracy can be achieved with the present formulation.

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Periodical:

Applied Mechanics and Materials (Volumes 444-445)

Pages:

85-89

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.444-445.85

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Online since:

October 2013

Authors:

Peng Jie Chen, Dong Dong Wang

Keywords:

Convergence Rate, Convex Approximation, Local Approximation, Meshfree Method

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