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arXiv · 2211.15670

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

Pilhwa Lee
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Abstract

Dual-Primal Finite Element Tearing and Interconnecting (FETI-DP) algorithms are developed for a 2D Biot model. The model is formulated with mixed-finite elements as a saddle-point problem. The displacement $\mathbf{u}$ and the Darcy flux flow $\mathbf{z}$ are represented with $P_1$ piecewise continuous elements and pore-pressure $p$ with $P_0$ piecewise constant elements, {\it i.e.}, overall three fields with a stabilizing term. We have tested the functionality of FETI-DP with 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.

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Pilhwa Lee. 2023-06-22. FETI-DP algorithms for 2D Biot model with discontinuous Galerkin discretization. https://arxiv.org/abs/2211.15670

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