A hybrid improved complex variable element-free Galerkin method for three-dimensional potential problems

被引：54
|
作者：
Cheng, H. [1 ]
Peng, M. J. [1 ]
Cheng, Y. M. [2 ]
机构：
[1] Shanghai Univ, Dept Civil Engn, Shanghai 200444, Peoples R China
[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2017年 / 84卷
基金：
中国国家自然科学基金;
关键词：
Improved complex variable moving; least-square approximation; Improved complex variable element-free; Galerkin method; Dimension splitting method; Finite difference method; Hybrid improved complex variable element-free Galerkin method; Potential problem; NAVIER-STOKES EQUATIONS; DIMENSION SPLIT METHOD; LEAST-SQUARES METHOD; EFG METHOD; APPROXIMATION; ERROR;
D O I：
10.1016/j.enganabound.2017.08.001
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Combining the dimension splitting method with the improved complex variable element-free Galerkin method, a hybrid improved complex variable element-free Galerkin (H-ICVEFG) method is presented for three-dimensional potential problems. Using the dimension splitting method, a three-dimensional potential problem is transformed into a series of two-dimensional ones which can be solved with the improved complex variable element-free Galerkin (ICVEFG) method. In the ICVEFG method for each two-dimensional problem, the improved complex variable moving least-square (ICVMLS) approximation is used to obtain the shape functions, and the penalty method is used to apply the essential boundary conditions. Finite difference method is used in the one-dimensional direction. And Galerkin weak form of three-dimensional potential problem is used to obtain the final discretized equations. Then the H-ICVEFG method for three-dimensional potential problems is presented. Four numerical examples are given to show that the new method has higher computational efficiency. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：52 / 62
页数：11
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