@Article{IJNAM-15-1-2,
author = {Jun, Hu and Rui, Ma},
title = {Conforming Mixed Triangular Prism Elements for the Linear Elasticity Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2018},
volume = {15},
number = {1-2},
pages = {228--242},
abstract = {<p style="text-align: justify;">We propose a family of conforming mixed triangular prism finite elements for solving the classical Hellinger-Reissner mixed problem of the linear elasticity equations in three dimensions. These elements are constructed by product of elements on triangular meshes and elements in one dimension. The well-posedness is established for all elements with $k ≥ 1$, which are of $k+1$ order convergence for both the stress and displacement. Besides, a family of reduced stress spaces is proposed by dropping the degrees of polynomial functions associated with faces. As a result, the lowest order conforming mixed triangular prism element has 93 plus 33 degrees of freedom on each element.</p>},
issn = {2617-8710},
doi = {https://doi.org/2018-IJNAM-10565},
url = {https://global-sci.com/article/83109/conforming-mixed-triangular-prism-elements-for-the-linear-elasticity-problem}
}