Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity
@article{Kumar2020ConservativeDF, title={Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity}, author={Sarvesh Kumar and Ricardo Oyarz{\'u}a and Ricardo Ruiz Baier and Ruchi Sandilya}, journal={Mathematical Modelling and Numerical Analysis}, year={2020}, volume={54}, pages={273-299} }
We introduce a numerical method for the approximation of linear poroelasticity equations, representing the interaction between the non-viscous filtration flow of a fluid and the linear mechanical response of a porous medium. In the proposed formulation, the primary variables in the system are the solid displacement, the fluid pressure, the fluid flux, and the total pressure. A discontinuous finite volume method is designed for the approximation of solid displacement using a dual mesh, whereas a…
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