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The Hermit-Type Reproducing Kernel Particle Method for Elasticity Problems

International Journal of Computational Methods, 2018
To reduce the error on the boundary and improve computational accuracy, the normal derivative of radial basis function (RBF) is introduced into the reproducing kernel particle method (RKPM), and the Hermit-type reproducing kernel particle method (Hermit-type RKPM) is proposed. The Hermit-type RKPM approximation function is constructed and the governing
Jichao Ma, Gaofeng Wei, Hongfen Gao
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Reproducing kernel particle methods

International Journal for Numerical Methods in Fluids, 1995
AbstractA new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time‐frequency and space‐wave number localization of a window function is developed. This method is motivated by the theory of wavelets and also has the desirable attributes of the recently proposed smooth particle hydrodynamics ...
Wing Kam Liu, Sukky Jun
exaly   +2 more sources

Error analysis of the reproducing kernel particle method

Computer Methods in Applied Mechanics and Engineering, 2001
The authors actually discuss a class of projective methods (generalizations of Bubnov-Galerkin methods) with special basis functions associated with the sets of points (quasi-grids) in the closure of the domain. This sets have the parameter \(r>0\). When it tends to zero, the sets (in the given examples) are special grids (only one-dimensional case is ...
Weimin Han
exaly   +2 more sources

A Lagrangian reproducing kernel particle method for metal forming analysis

Computational Mechanics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, J.-S., Pan, C., Roque, C. M. O. L., Wang, H.-P.   +3 more
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Radial basis reproducing kernel particle method for piezoelectric materials

Engineering Analysis With Boundary Elements, 2018
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Gaofeng Wei, Hongfen Gao
exaly   +3 more sources

Homogenization of magnetostrictive particle-filled elastomers using an interface-enriched reproducing kernel particle method [PDF]

Finite Elements in Analysis and Design, 2003
A formulation is proposed for homogenization of magnetostrictive particle-filled elastomers (MPFE) based on an interface-enriched reproducing kernel particle method.
Lizhi Sun, Jiun-Shyan Chen
exaly   +1 more source

A quasi‐linear reproducing kernel particle method

International Journal for Numerical Methods in Engineering, 2016
SummaryReproducing kernel particle method (RKPM) has been applied to many large deformation problems. RKPM relies on polynomial reproducing conditions to yield desired accuracy and convergence properties but requires appropriate kernel support coverage of neighboring nodes to ensure kernel stability.
Yreux, Edouard, Chen, Jiun-Shyan
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ON SOME ENRICHMENTS OF REPRODUCING KERNEL PARTICLE METHOD

International Journal of Computational Methods, 2004
In this paper efforts are made to enrich Reproducing Kernel Particle Method (RKPM). Firstly, the RKPM shape functions are expressed explicitly in terms of kernel function moments. This avoids numerical matrix inversions and solutions of linear algebraic equations which are involved in classical RKPM, and thus makes RKPM more accurate, faster and more ...
Zhou, J. X., Wang, X. M., Zhang, Z. Q., Zhang, L.   +3 more
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Multiresolution reproducing kernel particle methods

Computational Mechanics, 1997
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Liu, W. K., Hao, W., Chen, Y., Jun, S., Gosz, J.   +4 more
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