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Meshless local Petrov–Galerkin (MLPG) method in combination with finite element and boundary element approaches

机译：结合有限元和边界元方法的局部无网格Petrov-Galerkin（MLPG）方法

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The Meshless Local Petrov-Galerkin (MLPG) method is an effective truly meshless method for solving partial differential equations using Moving Least Squares (MLS) interpolants. It is, however, computationally expensive for some problems. A coupled MLPG/Finite Element (FE) method and a coupled MLPG/Boundary Element (BE) method are proposed in this paper to improve the solution efficiency. A procedure is developed for the coupled MLPG/FE method and the coupled MLPG/BE method so that the continuity and compatibility are preserved on the interface of the two domains where the MLPG and FE or BE methods are applied. The validity and efficiency of the MLPG/FE and MLPG/BE methods are demonstrated through a number of examples. udKEY WORDS: Meshless Method; Meshless Local-Galerkin Method; Finite element Method; Boundary Element Method; Stress Analysis

机译：无网格局部Petrov-Galerkin（MLPG）方法是使用移动最小二乘（MLS）插值求解偏微分方程的一种有效的真正无网格方法。但是，对于某些问题，它的计算量很大。为了提高求解效率，本文提出了一种耦合的MLPG /有限元（FE）方法和一种MLPG /边界元（BE）方法。开发了用于MLPG / FE耦合方法和MLPG / BE耦合方法的过程，以便在应用MLPG和FE或BE方法的两个域的接口上保留连续性和兼容性。通过许多示例证明了MLPG / FE和MLPG / BE方法的有效性和效率。 ud关键词：无网格方法；无网格局部Galerkin方法；有限元法边界元法；压力分析

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Liu Gui-Rong; Gu YuanTong;
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年度 2000
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专利

1. A direct coupling method of meshless local petrov-galerkin (MLPG) and finite element method (FEM) [J] . Liu Zehui, Lu Ming, Li Qing, International journal of applied electromagnetics and mechanics . 2016,第1期

机译：无网格局部Petrov-Galerkin（MLPG）和有限元方法（FEM）的直接耦合方法
2. A direct coupling method of meshless local petrov-galerkin (MLPG) and finite element method (FEM) [J] . Liu Zehui, Lu Ming, Li Qing, International journal of applied electromagnetics and mechanics . 2016,第1期

机译：无网格局部Petrov-Galerkin（MLPG）和有限元方法（FEM）的直接耦合方法
3. The Nonlinear Meshless Local Petrov-Galerkin (MLPG) Method from the Nonlinear Regular Local Boundary Integral Equation [J] . T. L. Zhu International Journal for Computational Methods in Engineering Science and Mechanics . 2010,第1a6期

机译：非线性正则局部边界积分方程的非线性无网格局部Petrov-Galerkin（MLPG）方法
4. A Domain Decomposition Method Combining a Boundary Element Method with a Meshless Local Petrov-Galerkin Method [C] . Li Maojun, Zhu Jialin International conference on domain decomposition . 2011

机译：域分解方法与丝带本地Petrov-Galerkin方法结合边界元法
5. Meshless local Petrov -Galerkin (MLPG) method for convective -diffusive transport and fluid flows [D] . Lin, Hongchang 2000

机译：对流-扩散传输和流体流动的无网格局部Petrov-Galerkin（MLPG）方法
6. The meshless local Petrov–Galerkin method based on moving Kriging interpolation for solving the time fractional Navier–Stokes equations [O] . N. Thamareerat, A. Luadsong, N. Aschariyaphotha -1

机译：基于移动克里格插值的无网格局部Petrov-Galerkin方法求解时间分数Navier-Stokes方程
7. 1 The Basis of Meshless Domain Discretization: The Meshless Local Petrov Galerkin (MLPG) Method [O] . Satya N. Atluri, Shengping Shen 2003

机译：1无网格域离散化的基础：无网格局部petrov Galerkin（mLpG）方法
8. Coupling Finite Element and Meshless Local Petrov-Galerkin Methods for Two-Dimensional Potential Problems [R] . Chen, T. , Raju, I. S. 2002

机译：二维势问题的耦合有限元与无网格局部petrov-Galerkin方法

Meshless local Petrov–Galerkin (MLPG) method in combination with finite element and boundary element approaches

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