4 citations · 4 across the 9 of their papers we have counts for
11 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…
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…
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-…
Some semi-decoupled algorithms with optimal convergence for a four-field linear thermo-poroelastic model
Ziliang Li, Mingchao Cai, Jingzhi Li +1
We propose three semi-decoupled algorithms for efficiently solving a four-field thermoporoelastic model. The first two algorithms adopt a sequential strategy: at the initial time s…
DAE-KAN: A Kolmogorov-Arnold Network Model for High-Index Differential-Algebraic Equations
Kai Luo, Juan Tang, Mingchao Cai +3
Kolmogorov-Arnold Networks (KANs) have emerged as a promising alternative to Multi-layer Perceptrons (MLPs) due to their superior function-fitting abilities in data-driven modeling…
An Optimally Convergent parallel splitting Algorithm for the Multiple-Network Poroelasticity Model
Jijing Zhao, Huangxin Chen, Mingchao Cai +1
This paper presents a novel parallel splitting algorithm for solving quasi-static multiple-network poroelasticity (MPET) equations. By introducing a total pressure variable, the MP…
Parameter-Robust Preconditioners for A Four-Field Thermo-Poroelasticity Model
Mingchao Cai, Miroslav Kuchta, Jingzhi Li +2
We study a thermo-poroelasticity model which describes the interaction between the deformation of an elastic porous material and fluid flow under non-isothermal conditions. The mod…
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…