8 papers
Pressure Monotonicity for a Rotation-Based Biot Discretization with Circumcentric Mass Lumping
Huipeng Gu, Mingchao Cai, Jingzhi Li
We establish cellwise pressure monotonicity for a mixed finite element discretization of the rotation-based Biot system. The spatial discretization is based on compatible discrete…
Iterative Decoupling Methods for a Total-Pressure Formulation of Quasi-Static Electroporoelasticity
Huipeng Gu, Mingchao Cai, Jingzhi Li
Quasi-static electroporoelasticity couples Maxwell's equations with Biot's poroelasticity through electrokinetic coupling between the electric field and the pressure gradient. By i…
A Unified Model for Thermo- and Multiple-Network Poroelasticity with a Global-in-Time Iterative Decoupling Scheme
Huipeng Gu, Mingchao Cai, Jingzhi Li +1
This paper introduces a unified model for thermo-poroelasticity and multiple-network poroelasticity, reformulated into a total-pressure-based system. We first establish the well-po…
POD-based reduced order modeling of global-in-time iterative decoupled algorithms for Biot's consolidation model
Huipeng Gu, Francesco Ballarin, Mingchao Cai +1
This paper focuses on the efficient numerical algorithms of a three-field Biot's consolidation model. The approach begins with the introduction of innovative monolithic and global-…
Crank-Nicolson-type iterative decoupled algorithms for Biot's consolidation model using total pressure
Huipeng Gu, Mingchao Cai, Jingzhi Li
In this work, we develop Crank-Nicolson-type iterative decoupled algorithms for a three-field formulation of Biot's consolidation model using total pressure. We begin by constructi…
A Parallel-in-time Method Based on Preconditioner for Biot's Model
Zeyuan Zhou, Huipeng Gu, Guoliang Ju +1
We proposed a parallel-in-time method based on preconditioner for Biot's consolidation model in poroelasticity. In order to achieve a fast and stable convergence for the matrix sys…
A priori error estimates of two fully discrete coupled schemes for Biot's consolidation model
Huipeng Gu, Mingchao Cai, Jingzhi Li +1
This paper concentrates on a priori error estimates of two fully discrete coupled schemes for Biot's consolidation model based on the three-field formulation introduced by Oyarzua…
An Iterative Decoupled Algorithm with Unconditional Stability for Biot Model
Huipeng Gu, Mingchao Cai, Jingzhi Li
This paper is concerned with numerical algorithms for Biot model. By introducing an intermediate variable, the classical 2-field Biot model is written into a 3-field formulation. B…