Xiaozhe Hu

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20122026

most citedStability and Monotonicity for Some Discretizations of the Biot's Model

128 citations · 513 across the 59 of their papers we have counts for

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math.AP2026

A variational model of nonlinear poroelasticity

James H. Adler, Xiaozhe Hu, Arkadz Kirshtein

We derive a thermodynamically-consistent model of fluid flow through a poroelastic medium. Starting from elastic and fluid free-energy densities, an energy-dissipation rate, and a…

math.CV2026

A Counterexample to a Problem of Pommerenke on Convex Functions in the Class $Σ$

Yuankai Guo, Xiaozhe Hu

Let $Σ$ denote the class of functions $f (z) = z + b_{0} + b_{1} z^{- 1} + \dots$ that are analytic and univalent in the exterior unit disk $Δ^{*} = {z \in C : ∣ z ∣ > 1}$ . In 19…

math.NA2026

Quantum-inspired methods for finite-element discretizations of the high-dimensional Poisson equation

Xue Wang, James H. Adler, Xiaozhe Hu

In recent years, quantum linear system algorithms have been applied to partial differential equations (PDEs), particularly in high-dimensional settings, demonstrating an exponentia…

A variational model of nonlinear poroelasticity

A Counterexample to a Problem of Pommerenke on Convex Functions in the Class Σ

Quantum-inspired methods for finite-element discretizations of the high-dimensional Poisson equation

A Counterexample to a Problem of Pommerenke on Convex Functions in the Class $Σ$