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磁场问题自适应有限元计算的h-p方式
引用本文:吴海容,梁艳萍.磁场问题自适应有限元计算的h-p方式[J].电机与控制学报,1993(2).
作者姓名:吴海容  梁艳萍
作者单位:哈尔院电工学院 (吴海容),哈尔院电工学院(梁艳萍)
摘    要:自适应有限元的h-p方式,虽然早已在理论上加以肯定,然而提出具体的h-p方式自适应过程的文献还很少.本文提出一种实施h-p方式的自适应过程,它先以较为简便的h方式自适应网格加密,然后再对高误差区域用叠层元的p方式局部提高近似解的精度,从而较好地实现了h、p方式的结合.作为验证的实例是具有解析解的模型题和工程实际问题.计算实践表明,本文所提出的h-p方式自适应过程,既简便易行,又可达到较好的精度.

关 键 词:磁场  有限元计算  自适应

An Adaptive Finite Element Computation of h-p Version for Magnetic Field Problems
Wu Hairong,Liang Yanping Harbin Institute of Electrical Technology.An Adaptive Finite Element Computation of h-p Version for Magnetic Field Problems[J].Electric Machines and Control,1993(2).
Authors:Wu Hairong  Liang Yanping Harbin Institute of Electrical Technology
Affiliation:Wu Hairong;Liang Yanping Harbin Institute of Electrical Technology
Abstract:In this paper, an adaptive finite element computation of h-p version for 2D magnetic field problems is presented. At first, a coarse mesh refinement is introduced, after some refining cycles and passing the convergence criterion, the p version hierarchic finite element is used in certain local areas to increase the accuracy of solution further. As test problems, two model problems having analytical solutions and a practical engineering problem are calculated. Results show that the new adaptive scheme is efficient and economical.
Keywords:adaptive mesh refinement  hierarchic finite element  
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