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Meshless methods for conservation laws
Mathematics and Computers in Simulation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lanson, N., Vila, J. P.
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Least‐squares collocation meshless method
International Journal for Numerical Methods in Engineering, 2001AbstractA finite point method, least‐squares collocation meshless method, is proposed. Except for the collocation points which are used to construct the trial functions, a number of auxiliary points are also adopted. Unlike the direct collocation method, the equilibrium conditions are satisfied not only at the collocation points but also at the ...
Zhang, Xiong +3 more
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2011 International Conference on Multimedia Technology, 2011
Combining a kind of new adaptive technique with the radial point interpolation method (RPIM), it yields the adaptive RPIM meshless methods. We solved the classical cantilever beam problem using this method. Numerical results show the accuracy and efficiency of the present method.
null Xiaokun Zhang +2 more
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Combining a kind of new adaptive technique with the radial point interpolation method (RPIM), it yields the adaptive RPIM meshless methods. We solved the classical cantilever beam problem using this method. Numerical results show the accuracy and efficiency of the present method.
null Xiaokun Zhang +2 more
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Parametric meshless Galerkin method
International Journal for Numerical Methods in Engineering, 2005In meshless methods, generation of meshless shape functions is usually a complicated and time-consuming task. In this paper, a new meshless method called parametric meshless Galerkin method (PMGM) is presented. In this method, meshless shape functions are constructed on meshless parametric domains (MPD), before running to solve the problem.
Hossein Hosseini-Toudeshky +1 more
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Elastoplastic meshless integral method
Computer Methods in Applied Mechanics and Engineering, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Jianfeng +2 more
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Optimised meshless method for acoustics
1999Summary: An element-free Galerkin method is formulated for Helmholtz problem. It is based on a moving least squares method. We show that it is possible to determine the speed of propagation of numerical wave and to tune the parameters of the method in order to minimize the dispersion.
Bouillard, Philippe, Suleau, Stéphane
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Quadrature for meshless methods
International Journal for Numerical Methods in Engineering, 2008AbstractIn this paper we discuss quadrature schemes for meshless methods. We consider the Neumann problem and derive an estimate for the energy norm error between the exact solution, u, and the quadrature approximate solution, u, in terms of a parameter, h, associated with the family of approximation spaces, and quantities η, τ, and ε that measure the ...
Babuška, Ivo +3 more
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MESHLESS FINITE VOLUME METHOD WITH SMOOTHING
International Journal of Computational Methods, 2014Starting from the integral forms of the equilibrium condition and the constitutive law over the small volumes centered at the nodes, this study approximates stresses and displacements independently by means of the meshless approximation. By interpreting the meshless approximation from a new perspective, the procedure does not need to differentiate the ...
Huang, Zhecong, Zheng, Hong, Dai, Feng
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Meshless Methods in Potential Inverse Electrocardiography
2006 International Conference of the IEEE Engineering in Medicine and Biology Society, 2006Potential inverse electrocardiography (PIE) is a method for reconstruction of epicardial potentials from measured body surface electrocardiograms and heart-torso geometry. The method of choice for computing epicardial potentials has been either the boundary element method (BEM) or the finite element method (FEM).
Yong, Wang, Yoram, Rudy
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2014
In this chapter the most important meshless method concepts are detailed introduced. The chapter stars with a generic description on the meshless procedure. Additionally, it is presented a brief comparison between procedures of the finite element method (FEM) and the meshless method.
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In this chapter the most important meshless method concepts are detailed introduced. The chapter stars with a generic description on the meshless procedure. Additionally, it is presented a brief comparison between procedures of the finite element method (FEM) and the meshless method.
openaire +1 more source