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非重叠Mortar有限元法在电磁分析中的应用

刘守豹 阮江军 彭迎 杜志叶 黄道春 王栋

中国电机工程学报2011,Vol.31Issue(24):138-144,7.
中国电机工程学报2011,Vol.31Issue(24):138-144,7.

非重叠Mortar有限元法在电磁分析中的应用

Application of Non-overlapping Mortar Finite Element Method to Electromagnetic Analysis

刘守豹 1阮江军 1彭迎 2杜志叶 1黄道春 1王栋1

作者信息

  • 1. 武汉大学电气工程学院,湖北省武汉市430072
  • 2. 湖北省电力公司,湖北省武汉市430077
  • 折叠

摘要

Abstract

The mortar element method (MEM) is a new domain decomposition technique. MEM allows to take benefit of the presence of the subdomains in order to choose the discretization method, which is best adapted to the local behavior of the solution of the partial differential equation. In mortar finite element method (MFEI~I) a discretized mortar space is introduced to approximate the original continuous function space. The continuity of degree of freedoms across the non-conforming interface is ensured by the surface integration in a weak sense. The MFEM could "Mortar" the inter face between subdomains effectively. This paper gave the fundamental of non-overlapping MFEM (NO-MFEM); the procedures of calculating the mortar condition were discussed; the calculation and construction of the global matrix was proposed. By two dimensional static magnetic model and three dimensional electrostatic model, the validity of NO-MFEM was proved. This work is fundamental for extending MFEM to the other applications in computational electromagnetics.

关键词

Mortar元法/有限元法/非重叠Mortar有限元法/连续条件/电磁分析

Key words

mortar element method (MEM)/finite elementmethod (FEM)/non-overlapping mortar finite element method(NO-MFEM)/continuity condition/electromagnetic analysis

分类

信息技术与安全科学

引用本文复制引用

刘守豹,阮江军,彭迎,杜志叶,黄道春,王栋..非重叠Mortar有限元法在电磁分析中的应用[J].中国电机工程学报,2011,31(24):138-144,7.

基金项目

教育部博士研究生学术新人奖资助. ()

中国电机工程学报

OA北大核心CSCDCSTPCD

0258-8013

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