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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.NA2026
A Unified Two-Grid Framework for Anderson Acceleration and Nonlinear GMRES
James Adler, Yunhui He, Xiaozhe Hu +1
In this work, we recast two widely used acceleration methods for fixed-point iterations, Anderson acceleration (AA) and the nonlinear generalized minimal residual method (NGMRES),…
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…