activity
20152026
most citedLinear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem

3 citations · 11 across the 24 of their papers we have counts for

collaborators

39 papers

math.NA2026

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…

math.NA2026

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…

math.NA2026

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…

math.NA2025

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…

math.NA2025

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-…

math.NA2025

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…