期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Maxwell方程基于两个局部高斯积分的稳定化有限元方法

Stabilization of Mixed Finite Elements for Maxwell Equation Based on Two Gauss Integrations
下载PDF
导出
摘要 文章对Maxwell方程提出了基于局部高斯积分的稳定化有限元方法,并给出了先验误差估计.通过利用Mini元进行有限元离散,新的稳定项仅仅取决于Bubble函数,算法优势是使用两个局部高斯方法代替了投影算子,同投影方法起到了相同的效果,没有增加额外的项. In this paper, a kind of finite element method for the Maxwell equations is presented and the priori error estimates are derived. Based on the mini - element discretization, the new stabilization term only depends on bubble function. The great feature of the new method is using two Gauss integrations to take place of projection operator with no additional item.
作者 李敏 陈豫眉
机构地区 西华师范大学数学与信息学院
出处 《绵阳师范学院学报》 2014年第2期1-7,共7页 Journal of Mianyang Teachers＇ College
基金 国家自然基金项目(11271390)
关键词 MAXWELL方程 Bubble函数 INF-SUP条件 Maxwell equation Bubble function inf - sup condition
分类号 O241.82 [理学—计算数学]
  • 相关文献

参考文献14

  • 1I. Perugia, D. Schotzau, P. Monk. Stabilized interior penalty methods for low - frequency time - harmonic Maxwell equations. Math. Comp. , 2003(72) :1179 - 1214.
  • 2P. Houston, I. Perugia, D. Schotzau. Mixed discontinuous Galerkin approximation of the Maxwell operator: Non - stabilized formulation. J. Sci. Comp. ,2005 (22) : 325 - 356.
  • 3P. Houston, I. Perugia, D. Schotzau. Mixed discontinuous Galerkin approximation of the Maxwell operator. SIAM J. Numer. Anal. ,2004(42) :434 - 459.
  • 4I. Perugia, D. Schotzau, P. Monk. Stabilized interior penalty methods for the time - harmonic Maxwell equations. Comput. Methods Appl. Mech. Eng. ,2002 ( 191 ) :4675 -4697.
  • 5J. S. Hesthaven , T. Warburton. High order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Roy- al Soc. London SerA. ,2004(190) :493 -524.
  • 6P. Houston, I. Perugia, A. Schneebeli, D. Sch tzau. Interior penalty methods for the in - definite time - harmonic Maxwell equations. Numer. Math. , 2005 ( 100 ) :485 - 518.
  • 7L. Kopriva, S. Woodruff, M. Hussaini. Discontinuous spectral element approximation of Maxwellg equations, in Discontinu- ous Galerkin Methods. Comput. Methods Appl. Mech. Eng. , 2000(52) :355 -361.
  • 8I. Perugia , D. Sch tzau. The hp - local discontinuous Galerkin method for low - frequency time - harmonic Maxwell equa- tions. Math. Comp. , 2003 (72) : 1179 - 1214.
  • 9H. Y. Duan, J. Feng, P. Lin , R. C. E. Tan. The local projected finite element method for Maxwell problem. SIAM J. Nu- mer. anal, 2009 (47) : 1274 - 1303.
  • 10H. B. Zheng, Y. R. Hou, F. Shi, L. N. Song. A finite element variational muhiscale method for incompressible flows based on two local Gauss integrations. J. Comput. Phys. , 2009(228) : 5961 -5971.
绵阳师范学院学报
2014年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部