collaborators

5 papers

cond-mat.mtrl-sci2026

SPLIT-PINN: Separable Probability Learning Technique via Physics-Informed Neural Networks for High-Dimensional Probabilistic Modeling

Pouria Behnoudfar, Deekshith Naidu Ponnana, Noah J. Schmelzer +6

We present a probabilistic modeling framework for incorporating small-scale spatial heterogeneity into macroscopic descriptions of material behavior for polycrystalline metallic ma…

math.NA2026

Error Estimates for the Arnoldi Approximation of a Matrix Square Root

James H. Adler, Xiaozhe Hu, Wenxiao Pan +1

The Arnoldi process provides an efficient framework for approximating functions of a matrix applied to a vector, i.e., of the form , by repeated matrix-vector multiplic…

physics.comp-ph2026

Towards Quantum Accelerated Large-scale Topology Optimization

Zisheng Ye, Wenxiao Pan

We present a new method that efficiently solves TO problems and provides a practical pathway to leverage quantum computing to exploit potential quantum advantages. This work target…

physics.comp-ph2026

-HIGNN: A Scalable Graph Neural Network Framework with Hierarchical Matrix Acceleration for Simulation of Large-Scale Particulate Suspensions

Zhan Ma, Zisheng Ye, Ebrahim Safdarian +1

We present a fast and scalable framework, leveraging graph neural networks (GNNs) and hierarchical matrix (-matrix) techniques, for simulating large-scale particulate…

math.NA2024

Discrete Variable Topology Optimization Using Multi-Cut Formulation and Adaptive Trust Regions

Zisheng Ye, Wenxiao Pan

We present a new framework for solving general topology optimization (TO) problems that find an optimal material distribution within a design space to maximize the performance of a…