TY - JOUR
T1 - Conforming Mixed Triangular Prism Elements for the Linear Elasticity Problem
AU - Hu , Jun
AU - Ma , Rui
JO - International Journal of Numerical Analysis and Modeling
VL - 1-2
SP - 228
EP - 242
PY - 2018
DA - 2018/01
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/10565.html
KW - Mixed finite element, triangular prism element, linear elasticity.
AB - <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>