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A hybrid improved complex variable element-free Galerkin method for three-dimensional potential problems
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DOI：10.1016/j.enganabound.2017.08.001.png)
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Abstract
En 中文
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.
Keywords:
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
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