A hybrid improved complex variable element-free Galerkin method for three-dimensional potential problems. (November 2017)

• Record Type: Journal Article
• Authors: Cheng, H.; Peng, M.J.; Cheng, Y.M.
• Is Part Of: Engineering analysis with boundary elements. Volume 84(2017)
• Page Start: 52
• Page End: 62
• Publication Date: 2017-11
• Subjects: 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; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2017.08.001
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: 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.