TY - JOUR
T1 - A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems
AU - Ruishu Wang, Xiaoshen Wang & Ran Zhang
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 518
EP - 539
PY - 2018
DA - 2018/11
SN - 11
DO - http://doi.org/10.4208/nmtma.2017-OA-0096
UR - https://global-sci.org/intro/article_detail/nmtma/12443.html
KW - 
AB - <p style="text-align: justify;">A modified weak Galerkin finite element method is applied to the poroelasticity problems, in which, we use the piecewise polynomial space to approximate the displacement and the pressure, and we utilize the weak derivative operators to replace the classical ones in the modified weak Galerkin algorithm. Based on the traditional weak Galerkin finite element method, the modified method reduces the total amount of computation by eliminating the degrees of freedom on the boundaries. The error estimates are given and the numerical results are reported to illustrate our theoretical results.</p>