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Stabilized multiphysics finite element method with Crank–Nicolson scheme for a poroelasticity model
Author(s) -
Ge Zhihao,
He Yanan,
Li Tingting
Publication year - 2019
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22357
Subject(s) - multiphysics , finite element method , mathematics , crank–nicolson method , constraint (computer aided design) , poromechanics , scheme (mathematics) , mathematical optimization , process (computing) , computer science , mathematical analysis , porous medium , geometry , structural engineering , engineering , geotechnical engineering , porosity , operating system
In the paper, we propose a stabilized multiphysics finite element method with Crank–Nicolson scheme for a poroelasticity model. The method can eliminate the locking phenomenon and reveal the multi‐physical process. The lowest equal order finite element pair is used to reduce the computational cost. Furthermore, the method needs no constraint condition Δ t = O ( h 2 ) and achieves optimal convergent order. Numerical tests are provided to illustrate the optimal accuracy and good performance in eliminating locking phenomenon of the method.