摘要
80年代以来,国际上兴起对恒定磁场后验误差估计的研究,本文系统地介绍这方面的发展概况.对目前为止国内外已有的工作,从h加密方式的基于局部量计算和基于互补变分原理的这两种研究途径,以及p加密方式的叠层有限元途径等,进行了全面的总结;介绍了各种局部误差估计公式和加密指示因子,并对各种方法进行了比较和评价.
In this paper, a comprehensive survey for the state of art of a posteriori error estimates in finite element computation for magnetostatics since 1980s is presented. The h-version mesh refining approaches based on the local field quantities and the complementary variational principles, the p-version approach based on the hierarchic finite elements are summarized systematically. A variety of local error estimators and refinement indicators are introduced. Finally, critical comments on the different methods are given after some test problems having arialytieal solutions are calculated.
基金
国家自然科学基金
关键词
后验误差估计
有限元法
恒定磁场
posteriori error estimates
finite element method
adaptive mesh refinement
