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arxiv: 1712.07468 · v1 · pith:DISALPE7new · submitted 2017-12-20 · 🧮 math.NA · cs.NA

A finite element method with strong mass conservation for Biot's linear consolidation model

classification 🧮 math.NA cs.NA
keywords methodbiotelementfinitelinearanalyzedcombinedconforming
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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.

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