Stable mixed element schemes for plate models on multiply-connected domains
Numerical Analysis
2017-02-22 v1
Abstract
In this paper, we study the mixed element schemes of the Reissner-Mindlin plate model and the Kirchhoff plate model in multiply-connected domains. By a regular decomposition of and a Helmholtz decomposition of its dual, we develop mixed formulations of the models which are equivalent to the primal ones respectively and which are uniformly stable. A framework of designing uniformly stable finite element schemes is presented, and a specific example is given.
Keywords
Cite
@article{arxiv.1702.06401,
title = {Stable mixed element schemes for plate models on multiply-connected domains},
author = {Shuo Zhang},
journal= {arXiv preprint arXiv:1702.06401},
year = {2017}
}