Interval element-free Galerkin method for uncertain mechanical problems
An interval element-free Galerkin method was proposed to solve some issues in structural design and analysis of structural parameters that have errors or uncertainties caused by manufacture, installation, measurement, or computation.
Li Ming Zhou, Erfei Zhao, Shuhui Ren
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On the generalized wavelet-Galerkin method [PDF]
In the frame of the traditional wavelet-Galerkin method based on the compactly supported wavelets, it is important to calculate the so-called connection coefficients that are some integrals whose integrands involve products of wavelets, their derivatives as well as some known coefficients in considered differential equations.
Zhaochen Yang, Shijun Liao
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A weighted Nitsche discontinuous Galerkin finite element method for plane problems
The classical discontinuous Galerkin finite element method has the unstable numerical problem resulting from the inappropriate stability parameter for elasticity problem with interfaces.
Xiaowei DENG +2 more
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The Improved Element-Free Galerkin Method for 3D Helmholtz Equations
The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce ...
Heng Cheng, Miaojuan Peng
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The Extended Galerkin Method for Approximate Solutions of Nonlinear Vibration Equations
An extension has been made to the popular Galerkin method by integrating the weighted equation of motion over the time of one period of vibrations to eliminate the harmonics from thee deformation function.
Ji Wang, Rongxing Wu
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Perturbed Galerkin Method for Solving Integro-Differential Equations
In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of ...
K. Issa +3 more
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Pointwise best approximation results for Galerkin finite element solutions of parabolic problems [PDF]
In this paper we establish a best approximation property of fully discrete Galerkin finite element solutions of second order parabolic problems on convex polygonal and polyhedral domains in the $L^\infty$ norm.
Leykekhman, Dmitriy, Vexler, Boris
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Adaptive Fourier-Galerkin methods
We study the performance of adaptive Fourier-Galerkin methods in a periodic box in R d \mathbb {R}^d with dimension d ≥ 1 d\ge 1 . These methods offer unlimited approximation power only restricted by solution and data regularity.
C. Canuto, R. H. Nochetto, VERANI, MARCO
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Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation
This paper presents a difference interior penalty discontinuous Galerkin method for the 3D elliptic boundary-value problem. The main idea of this method is to combine the finite difference discretization in the z-direction with the interior penalty ...
Jian Li, Wei Yuan, Luling Cao
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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
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