Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity
Shubin Fu,
Eric Chung,
Tina Mai
Abstract:In this paper, we apply the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to first solving a nonlinear poroelasticity problem. The arising system consists of a nonlinear pressure equation and a nonlinear stress equation in strain-limiting setting, where strains keep bounded while stresses can grow arbitrarily large. After time-discretization of the system, to tackle the nonlinearity, we linearize the resulting equations by Picard iteration. To handle the linearized equa… Show more
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