Reproducing kernel particle method and its modification [PDF]
Summary: Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics. One of their advantages is that they do not require any explicit mesh in computation. This is the reason why they are useful in the case of large deformations,
Mošová, Vratislava
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NOVEL NUMERICAL PROCEDURES FOR LIMIT ANALYSIS OF STRUCTURES: MESH-FREE METHODS AND MATHEMATICAL PROGRAMMING [PDF]
Current research in the field of limit analysis is focussing on the development of numerical tools which are sufficiently efficient and robust to be used in engineering practice.
Le, Canh
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Non-reflecting boundary conditions and tensile instability in smooth particle hydrodynamics [PDF]
This thesis aimed at the understanding and further development of smoothed particle hydrodynamics (SPH). The first part described the implementations of non-reflecting boundary conditions for elastic- waves in SPH. The second part contains a stability
Powell, Seimon
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Multiresolution Reproducing Kernel Particle Methods in Acoustics [PDF]
In the analysis of complex phenomena of acoustic systems, the computational modeling requires special attention in order to give a realistic representation of the physics. As a powerful tool, the finite element method has been widely used in the study of complex systems. In order to capture the important physical phenomena, p-finite elements and/or hp-
R. A. Uras +3 more
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Numerical solution of potential problems using radial basis reproducing kernel particle method
The paper presents the radial basis reproducing kernel particle method (RRKPM) for potential problems. The proposed RRKPM can eliminate the negative effect of different reproducing kernel functions (RKF) on computational stability and accuracy.
Hongfen Gao, Gaofeng Wei
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A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials
We present a quasi-conforming embedded reproducing kernel particle method (QCE-RKPM) for modeling heterogeneous materials that makes use of techniques not available to mesh-based methods such as the finite element method (FEM) and avoids many of the drawbacks in current embedded and immersed formulations which are based on meshed methods. The different
Ryan T. Schlinkman +4 more
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The Optimal Transportation Method in Solid Mechanics [PDF]
This dissertation is concerned with the development of a robust and efficient meshless method, the Optimal Transportation Method (OTM), for general solid flows involving extremely large deformation, fast, transient loading and hydrodynamic phenomena ...
Li, Bo
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On coupling of reproducing kernel particle method and boundary element method [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Chi King +2 more
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A survey of kernel and spectral methods for clustering [PDF]
Clustering algorithms are a useful tool to explore data structures and have been employed in many disciplines. The focus of this paper is the partitioning clustering problem with a special interest in two recent approaches: kernel and spectral methods ...
Masulli, F. +11 more
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ESTIMATION OF VOLUME USING THE NUCLEATOR AND LATTICE POINTS
The nucleator is a method to estimate the volume of a particle, i.e. a compact subset of ℝ3, which is widely used in Stereology. It is based on geometric sampling and known to be unbiased.
Domingo Gomez-Perez +2 more
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