@Article{NMTMA-15-1,
author = {Yang, Yan and Xie, Xiaoping},
title = {High Order Mixed Finite Elements with Mass Lumping for Elasticity on Triangular Grids},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2022},
volume = {15},
number = {1},
pages = {227--250},
abstract = {<p style="text-align: justify;">A family of conforming mixed finite elements with mass lumping on triangular grids are presented for linear elasticity. The stress field is approximated
by symmetric $H($div) − $P_k (k ≥ 3)$ polynomial tensors enriched with higher order
bubbles so as to allow mass lumping, and the displacement field is approximated by $C^{−1}− P_{k−1}$ polynomial vectors enriched with higher order terms. For both the proposed mixed elements and their mass lumping schemes, optimal error estimates are
derived for the stress and displacement in $H$(div) norm and $L^2$ norm, respectively.
Numerical results confirm the theoretical analysis.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2021-0055},
url = {https://global-sci.com/article/90250/high-order-mixed-finite-elements-with-mass-lumping-for-elasticity-on-triangular-grids}
}