12 papers
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…
Global Convergence and Uniqueness for an Inverse Problem Posed by Gelfand
Michael V. Klibanov, Jingzhi Li, Tian Niu +1
The first globally convergent numerical method is developed for a coefficient inverse problem (CIP) for the d, wave equation with the unknown potential in the most ch…
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…
Convexification Numerical Method for Imaging of Moving Targets
Michael V. Klibanov, Jingzhi Li, Vladimir G. Romanov +1
The problem of imaging of a moving target is formulated as a Coefficient Inverse Problem for a hyperbolic equation with its coefficient depending on all three spatial variables and…
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…