A nonconforming high-order method for the Biot problem on general meshes

Daniele Boffi, Michele Botti, Daniele A. Di Pietro

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

In this work, we introduce a novel algorithm for the Biot problem based on a hybrid high-order discretization of the mechanics and a symmetric weighted interior penalty discretization of the ow. The method has several assets, including, in particular, the support of general polyhedral meshes and arbitrary space approximation order. Our analysis delivers stability and error estimates that hold also when the specific storage coefficient vanishes, and shows that the constants have only a mild dependence on the heterogeneity of the permeability coefficient. Numerical tests demonstrating the performance of the method are provided.
Original languageEnglish (US)
Pages (from-to)A1508-A1537
Number of pages1
JournalSIAM Journal on Scientific Computing
Volume38
Issue number3
DOIs
StatePublished - Jan 1 2016
Externally publishedYes

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