An improved interpolating element-free Galerkin method for elasticity [PDF]
Based on the improved interpolating moving least-squares (IIMLS) method and the Galerkin weak form, an improved interpolating element-free Galerkin (IIEFG) method is presented for two-dimensional elasticity problems in this paper. Compared with the interpolating moving least-squares (IMLS) method presented by Lancaster, the IIMLS method uses the ...
Feng-Xin Sun, Ju-Feng Wang, Yu-Min Cheng
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A two-level enriched finite element method for a mixed problem [PDF]
The simplest pair of spaces is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is to enhance the finite element spaces inside a Petrov-Galerkin framework with functions satisfying element-wise local Darcy problems with ...
Barrenechea, Gabriel +3 more
core +4 more sources
Improved complex variable element-free Galerkin method for viscoelasticity problems [PDF]
In this paper, based on the improved complex variable least-square (ICVMLS) approximation, the improved complex variable element-free Galerkin (ICVEFG) method for two-dimensional viscoelasticity problems is proposed. The ICVMLS approximation is used to form the shape function, the Galerkin weak form is used to obtain the system equations, and the ...
null Peng Miao-Juan, null Liu Qian
+7 more sources
A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
core +4 more sources
An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha +7 more
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A symmetric nodal conservative finite element method for the Darcy equation [PDF]
This work introduces and analyzes novel stable Petrov-Galerkin EnrichedMethods (PGEM) for the Darcy problem based on the simplest but unstable continuous P1/P0 pair.
Franca, L. P. +2 more
core +4 more sources
The improved element-free Galerkin method for elastoplasticity large deformation problems [PDF]
Based on the improved moving least-squares (IMLS) approximation, the improved element-free Galerkin (IEFG) method for elastoplasticity large deformation problems is presented. Compared with the moving least-squares (MLS) approximation, by orthogonalizing the basis function, the IMLS approximation can overcome the disadvantage of ill-conditional or ...
XiaoJie CAI, MiaoJuan PENG, YuMin CHENG
openaire +1 more source
Analyzing 3D Advection-Diffusion Problems by Using the Improved Element-Free Galerkin Method [PDF]
In this paper, the improved element-free Galerkin (IEFG) method is used for solving 3D advection-diffusion problems. The improved moving least-squares (IMLS) approximation is used to form the trial function, the penalty method is applied to introduce the essential boundary conditions, the Galerkin weak form and the difference method are used to obtain ...
Heng Cheng, Guodong Zheng
openaire +2 more sources
In this study, the interpolating element-free Galerkin (IEFG) method for solving three-dimensional (3D) transient heat conduction problem is presented.
D. Liu, Y.M. Cheng
doaj +1 more source
Numerical solution for one-dimensional pure-convection problems using the high-order Taylor-Galerkin element-free method [PDF]
The present study proposes a novel approach for solving one-dimensional pure convection problems, utilizing a high-order Taylor Galerkin element-free method. The standard Galerkin method has limitations in solving such problems due to the predominance of
S. Espahbodi Nia, Ali Rahmani Firoozjaee
doaj +1 more source

