FETI-DP preconditioners for 2D Biot model with discontinuous Galerkin discretization

11/28/2022

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by   Pilhwa Lee, et al.

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Dual-primal FETI (FETI-DP) preconditioners are developed for a 2D Biot model. The model is formulated with mixed-finite elements as a saddle-point problem. The displacement 𝐮 and the Darcy flux flow 𝐳 are represented with P_1 piecewise continuous elements and pore-pressure p with P_0 piecewise constant elements, i.e., overall three fields with a stabilizing term. We have tested the functionality of FETI-DP with and without Dirichlet preconditioners. Numerical experiments show a signature of scalability of the resulting parallel algorithm in the compressible elasticity with permeable Darcy flow as well as almost incompressible elasticity.