The dual mortar finite element method based on three-field variational principle

被引：0
作者：
Zhou M.-Z. [1 ]
Zhang B.-Y. [2 ]
Zhang D.-L. [1 ]
Fang H.-C. [1 ]
机构：
[1] Key Laboratory for Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing
[2] State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing
来源：
Zhang, Ding-Li (dlzhang@bjtu.edu.cn) | 1600年 / Tsinghua University卷 / 37期
关键词：
Dual mortar; Finite element method; Nonconforming mesh; Subdomain division; Three-field variational principle;
D O I：
10.6052/j.issn.1000-4750.2019.09.0540
中图分类号：
学科分类号：
摘要：
An independent medium surface is introduced to extend the mortar method from a two-field variational principle to a three-field version. The Lagrange multipliers are discretized by using dual basis functions. The dual basis fulfills bi-orthogonal conditions, resulting in the static condensation of the Lagrange multipliers. The dual mortar finite element method using the three-field variational principle is then proposed. This method overcomes the well-known deficiencies of the conventional mortar method, such as the cross-point constraint problem, the master-slave biased problem and the efficiency problem associated with large-scale computations. An in-house code is developed correspondingly and then used to validate the proposed method by two three-dimensional numerical examples. The method achieves high accuracy for interfacial continuous conditions. It can be applied to treat the nonconforming mesh even involving cross-point constraints. The resultant support for the complex subdomain division introduces significant flexibilities to the finite element analysis. © 2020, Engineering Mechanics Press. All right reserved.
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页码：51 / 59
页数：8
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