期刊论文、会议论文

Shu Shi

英文

SCIENCE IN CHINA SERIES A-MATHEMATICS

1006-9283

2008

51

8

1537-1548

8th National Conference on Computational Mathematics

OCT 25-29, 2007

Sichuan Univ, Sichuan, PEOPLES R CHINA

[Zhong LiuQiang;Shu Shi] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.^[Zhong LiuQiang;Shu Shi] Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China.^[Sun Dudu] Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China.^[Tan Lin] Nanhua Univ, Dept Math Phys, Hengyang 421001, Peoples R China.

16 DONGHUANGCHENGGEN NORTH ST, BEIJING 100717, PEOPLES R CHINA

SCIENCE PRESS

10.1007/s11425-008-0098-8

the National Natural Science Foundation of China（Grant Nos.10771178,10676031）； the National Key Basic Research Program of China（973Program）（Grant No.2005CB321702）； the Key Project of Chinese Ministry of Education and Scientific Research Fund of Hunan Provincial Education Department（Grant Nos.208093,07A068）；

本校为其他机构

In this paper, we are concerned with the fast solvers for higher order edge finite element discretizations of Maxwell’s equations. We present the preconditioners for the first family and second family of higher order Nédélec element equations, respectively. By combining the stable decompositions of two kinds of edge finite element spaces with the abstract theory of auxiliary space preconditioning, we prove that the corresponding condition numbers of our preconditioners are uniformly bounded on quasi-uniform grids. We also prese...