Results 171 to 180 of about 14,667 (217)
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Topological aspects of meshless methods and nodal ordering for meshless discretizations
International Journal for Numerical Methods in Engineering, 2001AbstractThe 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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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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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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New concepts in meshless methods
International Journal for Numerical Methods in Engineering, 2000Summary: Two kinds of truly meshless methods, the meshless local boundary integral equation (MLBIE) method and the meshless local Petrov-Galerkin (MLPG) approach, are presented and discussed. Both methods use the moving least-squares approximation to interpolate the solution variables, while the MLBIE method uses a local boundary integral equation ...
Atluri, S. N., Zhu, Tulong
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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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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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On Approximation in Meshless Methods
2005We analyze the approximation properties of some meshless methods. Three types of functions systems are discussed: systems of functions that reproduce polynomials, a class of radial basis functions, and functions that are adapted to a differential operator.
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