Two 11-node nonconforming triangular prism elements for 3D elliptic problems
Numerical Analysis
2018-11-20 v1
Abstract
This work introduces two 11-node triangular prism elements for 3D elliptic problems. The degrees of freedom (DoFs) of both elements are at the vertices and face centroids of a prism cell. The first element is -nonconforming and works for second order problems, which achieves a second order convergence rate in discrete -norm. The other is -nonconforming and solves fourth order problems, with a first order convergence rate in discrete -norm. Numerical examples verify our theoretical results.
Cite
@article{arxiv.1811.07507,
title = {Two 11-node nonconforming triangular prism elements for 3D elliptic problems},
author = {Xinchen Zhou and Zhaoliang Meng and Xin Fan and Zhongxuan Luo},
journal= {arXiv preprint arXiv:1811.07507},
year = {2018}
}