Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892076 | Computers & Mathematics with Applications | 2017 | 14 Pages |
Abstract
We develop a weak Galerkin (WG) finite element method for the Biot's consolidation model in the classical displacement-pressure two-field formulation. Weak Galerkin linear finite elements are used for both displacement and pressure approximations in spatial discretizations. Backward Euler scheme is used for temporal discretization in order to obtain an implicit fully discretized scheme. We study the well-posedness of the linear system at each time step and also derive the overall optimal-order convergence of the WG formulation. Such WG scheme is designed on general shape regular polytopal meshes and provides stable and oscillation-free approximation for the pressure without special treatment. Numerical experiments are presented to demonstrate the efficiency and accuracy of the proposed weak Galerkin finite element method.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Xiaozhe Hu, Lin Mu, Xiu Ye,