TY - JOUR
T1 - A nonconforming high-order method for the Biot problem on general meshes
AU - Boffi, Daniele
AU - Botti, Michele
AU - Di Pietro, Daniele A.
N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05
PY - 2016/1/1
Y1 - 2016/1/1
N2 - 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.
AB - 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.
UR - http://epubs.siam.org/doi/10.1137/15M1025505
UR - http://www.scopus.com/inward/record.url?scp=84976892430&partnerID=8YFLogxK
U2 - 10.1137/15M1025505
DO - 10.1137/15M1025505
M3 - Article
SN - 1095-7200
VL - 38
SP - A1508-A1537
JO - SIAM Journal on Scientific Computing
JF - SIAM Journal on Scientific Computing
IS - 3
ER -