A finite element method with strong mass conservation for Biot's linear consolidation model
arXiv:1712.0746847 citationsh-index: 37
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For researchers in computational geomechanics, this method improves accuracy in poroelasticity simulations by ensuring mass conservation.
The paper presents an H(div) conforming finite element method for Biot's linear consolidation model that achieves strong mass conservation and optimal convergence rates.
An H(div) conforming finite element method for solving the linear Biot equations is analyzed. Formulations for the standard mixed method are combined with formulation of interior penalty discontinuous Galerkin method to obtain a consistent scheme. Optimal convergence rates are obtained.