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An element-free Galerkin method for the obstacle problem
Applied Mathematics Letters, 2021This article discusses an element-free Galerkin method for the numerical approximation of solutions to obstacle boundary value problems. The approach relies on linearization techniques combined with stabilized element-free Galerkin methods. The convergence of the algorithm is discussed and various numerical experiments are included to support the ...
Xiaolin Li, Haiyun Dong
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A coupled finite element?element-free Galerkin method
Computational Mechanics, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belytschko, T., Organ, D., Krongauz, Y.
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A generalized element-free Galerkin method for Stokes problem
Computers & Mathematics with Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tao Zhang 0094, Xiaolin Li
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Analysis of the element-free Galerkin method for Signorini problems
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaolin Li, Haiyun Dong
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The element-free Galerkin method for the nonlinear p-Laplacian equation
Computers & Mathematics with Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaolin Li, Haiyun Dong
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International Journal for Numerical Methods in Engineering, 1994
AbstractAn element‐free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems. In this method, moving least‐squares interpolants are used to construct the trial and test functions for the variational principle (weak form); the dependent variable and its gradient are ...
Belytschko, T., Lu, Y. Y., Gu, L.
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AbstractAn element‐free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems. In this method, moving least‐squares interpolants are used to construct the trial and test functions for the variational principle (weak form); the dependent variable and its gradient are ...
Belytschko, T., Lu, Y. Y., Gu, L.
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Consistent element‐free Galerkin method
International Journal for Numerical Methods in Engineering, 2014SUMMARYAn element‐free Galerkin (EFG) method with linear, quadratic and cubic approximations, which can exactly, in a numerical sense, pass the corresponding patch tests is proposed and is named as consistent EFG (CEFG) method. The development of this method is based on the Hu–Washizu three‐field variational principle.
Duan, Qinglin +6 more
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An error indicator for the element free Galerkin method
European Journal of Mechanics - A/Solids, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gavete, L., Falcón, S., Ruiz, A.
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An adaptive approach with the Element-Free-Galerkin method
Computer Methods in Applied Mechanics and Engineering, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haeussler-Combe, Ulrich, Korn, Carsten
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