EDGE ELEMENT COMPUTATION OF MAXWELL'S EIGENVALUES ON GENERAL QUADRILATERAL MESHES
EDGE ELEMENT COMPUTATION OF MAXWELL'S EIGENVALUES ON GENERAL QUADRILATERAL MESHES
复制标题
DOI：
10.1142/s0218202506001145
复制
发表时间：
2006-02
影响因子：
3.5
通讯作者：
D. Boffi;F. Kikuchi;J. Schöberl
中科院分区：
文献类型：
--
作者：
D. Boffi;F. Kikuchi;J. Schöberl
最近的结果证明，Nedelec边单元在一般的四边形网格上不能达到最优的逼近速度。特别是，最低阶边缘元提供了对麦克斯韦本征值的稳定但不收敛的逼近。本文分析了一种恢复收敛最优性的标准边缘元修正方法。该修改基于可被解释为简化积分过程的投影技术。
Recent results prove that Nedelec edge elements do not achieve optimal rate of approximation on general quadrilateral meshes. In particular, lowest order edge elements provide stable but non-convergent approximation of Maxwell's eigenvalues. In this paper we analyze a modification of standard edge element that restores the optimality of the convergence. This modification is based on a projection technique that can be interpreted as a reduced integration procedure.