The geometrically nonlinear analysis of microswitches using the local meshfree method
In the modelling and simulation of the microelectromechanical systems (MEMS) devices, for example the microswitch, the large deformation or the geometrical nonlinearity should be considered.
Gu, YuanTong
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Selection of Radial Basis Functions for the Accuracy of Meshfree Galerkin Method in Rotating Euler-Bernoulli Beam Problem. [PDF]
Panchore V.
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Design and Implementation of Particle Systems for Meshfree Methods with High Performance
Particle systems, commonly associated with computer graphics, animation, and video games, are an essential component in the implementation of numerical methods ranging from the meshfree methods for computational fluid dynamics and related applications (e.
Bilotta, Giuseppe +2 more
core
The large deformation analysis is one of major challenges in numerical modelling and simulation of metal forming. Because no mesh is used, the meshfree methods show good potential for the large deformation analysis.
Gu, YuanTong
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Mesh-free methods and time integrations for transient heat conduction
The paper deals with transient heat conduction in functionally gradient materials. The spatial variation of the temperature field is approximated by using alternatively two various mesh free approximations, while the time dependence is treated either by
V. Sladek, J. Sladek, C. Zhang
doaj
A nodal integration scheme for meshfree Galerkin methods using the virtual element decomposition
In this article, we present a novel nodal integration scheme for meshfree Galerkin methods, which draws on the mathematical framework of the virtual element method. We adopt linear maximum-entropy basis functions for the discretization of field variables,
Silva-Valenzuela R. +4 more
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Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs. [PDF]
Petras A, Ling L, Ruuth SJ.
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This paper develops a novel coupling approach of the isogeometric analysis (IGA) method and the meshfree method for geometrically nonlinear analysis of thin-shell structures. The Kirchhoff–Love (KL) thin-shell theory is employed without the consideration
Kun Zhou +5 more
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Genetic programming approaches for solving elliptic partial differential equations
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A. +5 more
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Numerical Study on an RBF-FD Tangent Plane Based Method for Convection-Diffusion Equations on Anisotropic Evolving Surfaces. [PDF]
Adil N, Xiao X, Feng X.
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