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Quadrature for meshless methods

International Journal for Numerical Methods in Engineering, 2008
AbstractIn 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, 2014
Starting 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, 2006
Potential 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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Meshless Methods Introduction

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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Topological aspects of meshless methods and nodal ordering for meshless discretizations

International Journal for Numerical Methods in Engineering, 2001
AbstractThe meshless element‐free Galerkin method (EFGM) is considered and compared to the finite‐element method (FEM). In particular, topological aspects of meshless methods as the nodal connectivity and invertibility of matrices are studied and compared to those of the FE method.
Yavari, Arash   +3 more
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Kernel-Based Meshless Methods

2009
In order to improve their applicability as a tool for solving partial differential equations in computational science, we equip kernel-based meshless methods with a number of new capabilities. First, we provide kernel-based meshless methods with the first wellposed, general technique which allows for adaptively-scaled trial functions.
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Progress on Meshless Methods

2009
Preface Particular Solution of Poisson Problems using Cardinal Lagrangian Polyharmonic Splines, by B. Bacchelli and M. Bozzini A Meshless Solution to the p-Laplace Equation, by F. Bernal and M. Kindelan Localized Radial Basis Functions with Partition of Unity Properties, by J.S. Chen, W. Hu and H.Y.
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Meshless Methods

2015
Roman Trobec, Gregor Kosec
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Meshless Discretization Methods

2017
Timon Rabczuk, Xiaoying Zhuang
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