• 论文 •

求解二维时谐Maxwell方程的一种混合有限元新格式

1. 1. 河南财经政法大学数学与信息科学学院, 郑州 450000;
2. 南开大学数学科学学院, 天津 300071
• 收稿日期:2016-01-22 出版日期:2016-12-15 发布日期:2016-10-13
• 基金资助:

国家自然科学基金11071132，11171168，91430106，11571266资助.

Cao Jiwei. A NEW MIXED FINITE ELEMENT SCHEME FOR SOLVING 2D TIME-HARMONIC MAXWELL-TYPE PROBLEM[J]. Mathematica Numerica Sinica, 2016, 38(4): 429-441.

A NEW MIXED FINITE ELEMENT SCHEME FOR SOLVING 2D TIME-HARMONIC MAXWELL-TYPE PROBLEM

Cao Jiwei1,2

1. 1. School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450000, China;
2. School of Mathematical Sciences, Nankai University, Tianjin 300071, China
• Received:2016-01-22 Online:2016-12-15 Published:2016-10-13

In this paper, we propose a new H1-conforming nodal-continuous mixed finite element scheme. Several stabilizations and projections are added into the mixed finite element scheme and thus the stability of the variational system is achieved. We prove that the bilinear forms satisfy continuity, Kh-coercivity and Inf-Sup condition, and hence the existence and uniqueness of solution hold. Furthermore, quasi-optimal error estimates and convergence rate are derived.

MR(2010)主题分类:

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