Volume 11, Issue 3
A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems

Ruishu Wang, Xiaoshen Wang & Ran Zhang

Numer. Math. Theor. Meth. Appl., 11 (2018), pp. 518-539.

Published online: 2018-11

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  • Abstract

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.

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@Article{NMTMA-11-518, author = {}, title = {A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2018}, volume = {11}, number = {3}, pages = {518--539}, abstract = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2017-OA-0096}, url = {http://global-sci.org/intro/article_detail/nmtma/12443.html} }
TY - JOUR T1 - A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems 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 -

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.

Ruishu Wang, Xiaoshen Wang & Ran Zhang. (2020). A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems. Numerical Mathematics: Theory, Methods and Applications. 11 (3). 518-539. doi:10.4208/nmtma.2017-OA-0096
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