A fast object-oriented Matlab implementation of the Reproducing Kernel Particle Method
Computational Mechanics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barbieri, Ettore, Meo, Michele
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Enriched reproducing kernel particle method for fractional advection–diffusion equation
Acta Mechanica Sinica, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ying, Yuping +3 more
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Finite volume reproducing kernel particle method
Computers & Mathematics with ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures
Computer Methods in Applied Mechanics and Engineering, 1996Large deformation analysis of nonlinear elastic and inelastic structures based on reproducing kernel particle methods (RKPM) is presented. The method requires no explicit mesh in computation and therefore avoids mesh distortion difficulties in large deformation analysis.
Chen, Jiun-Shyan +3 more
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Reproducing kernel particle method for free and forced vibration analysis
Journal of Sound and Vibration, 2005Abstract A reproducing kernel particle method (RKPM) is presented to analyze the natural frequencies of Euler–Bernoulli beams as well as Kirchhoff plates. In addition, RKPM is also used to predict the forced vibration responses of buried pipelines due to longitudinal travelling waves.
J.X. Zhou, H.Y. Zhang, L. Zhang
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Multiresolution reproducing kernel particle method for computational fluid dynamics
International Journal for Numerical Methods in Fluids, 1997Summary: Multiresolution analysis based on the reproducing kernel particle method is developed for computational fluid dynamics. An algorithm incorporating multiple-scale adaptive refinement is introduced. The concept of using a wavelet solution as an error indicator is also presented.
Liu, Wing Kam +4 more
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h-adaptivity analysis based on multiple scale reproducing kernel particle method
Applied Mathematics and Mechanics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Zhi-Qian +4 more
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The dimension splitting reproducing kernel particle method for three‐dimensional potential problems
International Journal for Numerical Methods in Engineering, 2019SummaryIn this paper, the dimension splitting reproducing kernel particle method (DSRKPM) for three‐dimensional (3D) potential problems is presented. In the DSRKPM, a 3D potential problem can be transformed into a series of two‐dimensional (2D) ones in the dimension splitting direction.
P.P. Peng, Q. Wu, Y.M. Cheng
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Multiple-scale reproducing kernel particle methods for large deformation problems
International Journal for Numerical Methods in Engineering, 1998Summary: We review the reproducing kernel particle method (RKPM) with a built-in feature of multiresolution analysis, and apply this method to large deformation problems. Since the application of multiresolution RKPM to large deformation problems is still in its early stage of development, we introduce a concept of multiple-scale measure which is an ...
Liu, Wing Kam, Jun, Sukky
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A reproducing kernel particle method for meshless analysis of microelectromechanical systems
Computational Mechanics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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