@Article{IJNAM-19-2-3,
author = {Lee, Hsueh-Chen and Lee, Hyesuk},
title = {A Weighted Least-Squares Finite Element Method for Biot’s Consolidation Problem },
journal = {International Journal of Numerical Analysis and Modeling},
year = {2022},
volume = {19},
number = {2-3},
pages = {386--403},
abstract = {<p style="text-align: justify;">This paper examines a weighted least-squares method for a poroelastic structure
governed by Biot’s consolidation model. Quasi-static model equations are converted to a first-order system of four-field, and the least-squares functional is defined for the time discretized
system. We consider two different sets of weights for the functional and show its coercivity and
continuity properties, from which an a priori error estimate for the primal variables is derived.
Numerical experiments are provided to illustrate the performance of the proposed method.</p>},
issn = {2617-8710},
doi = {https://doi.org/2022-IJNAM-20487},
url = {https://global-sci.com/article/82941/a-weighted-least-squares-finite-element-method-for-biots-consolidation-problem}
}