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Analysis of an element-free Galerkin method for the nonlinear Schrödinger equation
Mathematics and Computers in Simulation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaolin Li 0008, Shuling Li
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Nodal integration of the element-free Galerkin method
Computer Methods in Applied Mechanics and Engineering, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beissel, Stephen, Belytschko, Ted
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On boundary conditions in the element-free Galerkin method
Computational Mechanics, 1997The problem of accuracte imposition of essential boundary conditions in the element free Galerkin method is discussed. Using this method some difficulties often occur, because the moving least squares interpolants used in this method lack the delta function property of the usual finite element or boundary element method shape functions.
Mukherjee, Y. X., Mukherjee, S.
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On error control in the element-free Galerkin method
Engineering Analysis with Boundary Elements, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhuang, Xiaoying +2 more
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Moving kriging interpolation and element‐free Galerkin method
International Journal for Numerical Methods in Engineering, 2002AbstractA new formulation of the element‐free Galerkin (EFG) method is presented in this paper. EFG has been extensively popularized in the literature in recent years due to its flexibility and high convergence rate in solving boundary value problems.
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Crack propagation by element-free Galerkin methods
Engineering Fracture Mechanics, 1995Abstract Element free Galerkin methods (EFG) are gridless methods for solving partial differential equations which employ moving least square interpolants for the trial and test functions. EFG methods require only nodes and a description of the external and internal boundaries and interfaces of the model; no element connectivity is needed.
T. Belytschko, Y.Y. Lu, L. Gu
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Dynamic Fracture by the Element-Free Galerkin Method
Computational Material Modeling, 1994Abstract The element-free Galerkin method (EFG) is presented and applied to dynamic fracture problems. The EFG method is based on moving least square (MLS) interpolants in which the dependent variable at any point is obtained by minimizing a function in terms of the nodal values of the dependent variable in the domain of influence of ...
Ted Belytschko +2 more
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A new implementation of the element free Galerkin method
Computer Methods in Applied Mechanics and Engineering, 1994A new implementation of the element free Galerkin method is developed based on a modified variational principle in which the Lagrange multipliers are replaced at the outset by their physical meaning so that the discrete equations are banded. In addition, weighted orthogonal basis functions are constructed so the need for solving equations at each ...
Lu, Y. Y., Belytschko, T., Gu, L.
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Volumetric locking in the element free Galerkin method
International Journal for Numerical Methods in Engineering, 1999Summary: A new formulation of the element free Galerkin (EFG) method is developed for the modelling of incompressible materials. Beginning with a mixed variational principle, a selective reduced integration procedure is developed by implementing nodal quadrature. Numerical examples are provided which compare the performance of the proposed technique to
Dolbow, John, Belytschko, Ted
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Elasto-plastic element-free Galerkin method
Computational Mechanics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kargarnovin, M. H. +2 more
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