4 citations · 4 across the 9 of their papers we have counts for
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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…
Physics-Informed Neural Networks for Biot's Model via Fixed-Stress Splitting and Energy Natural Gradient Descent
Kexin Sun, Qiang Liu, Minfu Feng +1
Physics-Informed Neural Networks (PINNs) have recently gained considerable attention as a mesh-free framework for solving partial differential equations. Nevertheless, their perfor…
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 Second-Order Monolithic Scheme for the Coupled Stokes--Biot Model Using Total Pressure
Talal Alshehri, Mingchao Cai, Xiaoqin Shen
We develop and analyze a second-order, fully implicit, monolithic time-discretization for the coupled time-dependent Stokes and quasi-static Biot system. The Biot subsystem is form…
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…