Year: 2018
Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2017-OA-0096
Numerical Mathematics: Theory, Methods and Applications, Vol. 11 (2018), Iss. 3 : pp. 518–539
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
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