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Overview and applications of the reproducing Kernel Particle methods
Archives of Computational Methods in Engineering, 1996Multiple-scale Kernel Particle methods are proposed as an alternative and/or enhancement to commonly used numerical methods such as finite element methods. The elimination of a mesh, combined with the properties of window functions, makes a particle method suitable for problems with large deformations, high gradients, and high modal density.
W. K. Liu +7 more
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Application of Reproducing Kernel Particle Methods in electromagnetics
Computer Methods in Applied Mechanics and Engineering, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reproducing kernel particle methods for structural dynamics
International Journal for Numerical Methods in Engineering, 1995AbstractThis paper explores a Reproducing Kernel Particle Method (RKPM) which incorporates several attractive features. The emphasis is away from classical mesh generated elements in favour of a mesh free system which only requires a set of nodes or particles in space.
Liu, Wing Kam +4 more
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Adaptive reproducing kernel particle method for extraction of the cortical surface
IEEE Transactions on Medical Imaging, 2006We propose a novel adaptive approach based on the Reproducing Kernel Particle Method (RKPM) to extract the cortical surfaces of the brain from three-dimensional (3-D) magnetic resonance images (MRIs). To formulate the discrete equations of the deformable model, a flexible particle shape function is employed in the Galerkin approximation of the weak ...
Meihe Xu +2 more
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Explicit Reproducing Kernel Particle Methods for large deformation problems
International Journal for Numerical Methods in Engineering, 1998Summary: The explicit reproducing kernel particle method (RKPM) is presented and applied to the simulations of large deformation problems. RKPM is a meshless method which does not need a mesh structure in its formulation. Because of this mesh-free property, RKPM is able to simulate large deformation problems without remeshing which is often required ...
Jun, Sukky +2 more
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Some Studies of the Reproducing Kernel Particle Method
2003Interests in meshfree (or meshless) methods have grown rapidly in the recent years in solving boundary value problems arising in mechanics, especially in dealing with difficult problems involving large deformation, moving discontinuities, etc. Rigorous error estimates of a meshfree method, the reproducing kernel particle method (RKPM), have been ...
Weimin Han, Xueping Meng
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The Isoparametric Reproducing Kernel Particle Method for nonlinear deformation of plates
Engineering Analysis with Boundary Elements, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guan, Pai-Chen, Sun, Chien-Ting
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Splitting Rolling Simulated by Reproducing Kernel Particle Method
Journal of Iron and Steel Research International, 2007During splitting rolling simulation, re-meshing is necessary to prevent the effect of severe mesh distortion when the conventional finite element method is used. However, extreme deformation cannot be solved by the finite element method in splitting rolling.
Qing-ling Cui +2 more
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Generalized multiple scale reproducing kernel particle methods
Computer Methods in Applied Mechanics and Engineering, 1996An approach to unify reproducing kernel methods and an extension to include time and spatial shifting are proposed. The groundwork is set by revisiting the Fourier analysis of discrete systems. The multiresolution concept, its significance in devising the reproducing kernel methods and its discrete counterpart, reproducing kernel particle methods, are ...
Liu, Wing Kam +3 more
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Multiresolution reproducing kernel particle methods in acoustics
The Journal of the Acoustical Society of America, 1996In the analysis of complex phenomena of acoustic systems, the computational modeling requires special attention for a realistic representation of the physics. As a powerful tool, the finite-element method has been widely used in the study of complex systems.
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