@Article{AAMM-10-1,
author = {Minghao, Li and Shi, Dongyang and Ying, Dai},
title = {New Residual Based Stabilization Method for the Elasticity Problem},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {10},
number = {1},
pages = {100--113},
abstract = {<p style="text-align: justify;">In this paper, we consider the mixed finite element method (MFEM) of the
elasticity problem in two and three dimensions (2D and 3D). We develop a new residual
based stabilization method to overcome the inf-sup difficulty, and use Langrange
elements to approximate the stress and displacement. The new method is unconditionally
stable, and its stability can be obtained directly from Céa&#39;s lemma. Optimal
error estimates for the $H^1$-norm of the displacement and $H$(div)-norm of the stress
can be obtained at the same time. Numerical results show the excellent stability and
accuracy of the new method.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2016.m1464},
url = {https://global-sci.com/article/73168/new-residual-based-stabilization-method-for-the-elasticity-problem}
}