@Article{EAJAM-9-558,
author = {Yuping Zeng, Mingchao Cai and Feng Wang},
title = {An H(div)-Conforming Finite Element Method for the Biot Consolidation Model},
journal = {East Asian Journal on Applied Mathematics},
year = {2019},
volume = {9},
number = {3},
pages = {558--579},
abstract = {<p style="text-align: justify;">An $H$(div)-conforming finite element method for the Biot&#39;s consolidation model is developed, with displacements and fluid velocity approximated by elements from
BDM<sub>$k$</sub> space. The use of $H$(div)-conforming elements for flow variables ensures the local
mass conservation. In the $H$(div)-conforming approximation of displacement, the tangential components are discretised in the interior penalty discontinuous Galerkin framework, and the normal components across the element interfaces are continuous. Having
introduced a spatial discretisation, we develop a semi-discrete scheme and a fully discrete scheme, prove their unique solvability and establish optimal error estimates for
each variable.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.170918.261218},
url = {http://global-sci.org/intro/article_detail/eajam/13167.html}
}