A hybrid improved complex variable element-free Galerkin method for three-dimensional potential problems
| Autor: | H. Cheng, M.J. Peng, Yumin Cheng |
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| Rok vydání: | 2017 |
| Předmět: |
Series (mathematics)
Discretization Applied Mathematics Mathematical analysis General Engineering Finite difference method 02 engineering and technology 01 natural sciences 010101 applied mathematics Computational Mathematics 020303 mechanical engineering & transports 0203 mechanical engineering Discontinuous Galerkin method Penalty method Boundary value problem 0101 mathematics Galerkin method Analysis Variable (mathematics) Mathematics |
| Zdroj: | Engineering Analysis with Boundary Elements. 84:52-62 |
| ISSN: | 0955-7997 |
| DOI: | 10.1016/j.enganabound.2017.08.001 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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