TY - JOUR
T1 - A Weighted Least-Squares Finite Element Method for Biot’s Consolidation Problem 
AU - Lee , Hsueh-Chen
AU - Lee , Hyesuk
JO - International Journal of Numerical Analysis and Modeling
VL - 2-3
SP - 386
EP - 403
PY - 2022
DA - 2022/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20487.html
KW - Weighted least-squares finite element method, Biot’s consolidation model.
AB - <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>