• 论文 •

### 等参谱元方法的研究

1. 西安交通大学流体机械研究所;西安交通大学流体机械研究所;西安交通大学流体机械研究所 西安 710049 ;西安 710049 ;西安 710049
• 出版日期:2003-03-20 发布日期:2003-03-20

### RESEARCH OF AN ISOPARAMETRIC SPECTRAL ELEMENT METHOD

1. Chen Xuejiang Qin Guoliang Xu Zhong (Institute of Fluid Machinery, Xi'an Jiaotong University, Xi'an710049, P. R. China)
• Online:2003-03-20 Published:2003-03-20

An isoparametric spectral element method that combines the idea of the isoparametric element in finite element methods with spectral element methods is proposed. The computational domain is broken up into curvilinear quadrangular elements to approach boundaries more specifically and solve the differential equation in complex geometry. By this means both the Helmholtz equations with rectangular geometry and the Poisson's equations with annular geometry those have analytical solutions are solved. The predicted results are in excellent agreement with the analytical solutions.
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