39 citations · 39 across the 6 of their papers we have counts for
6 papers
Multi-field Return Point Memory
Nathaniel Croce, Hossein Salahshoor, D. Zeb Rocklin
Non-equilibrium systems display memory, a dependence not merely on their present environment but on previously applied fields. Multistable systems such as spin glasses, martensites…
A Probabilistic Framework for Solving High-Frequency Helmholtz Equations via Diffusion Models
Yicheng Zou, Samuel Lanthaler, Hossein Salahshoor
Deterministic neural operators perform well on many PDEs but can struggle with the approximation of high-frequency wave phenomena, where strong input-to-output sensitivity makes op…
Finite Element Eigenfunction Network (FEENet): A Hybrid Framework for Solving PDEs on Complex Geometries
Shiyuan Li, Hossein Salahshoor
Neural operators aim to learn mappings between infinite-dimensional function spaces, but their performance often degrades on complex or irregular geometries due to the lack of geom…
Approximating Young Measures With Deep Neural Networks
Rayehe Karimi Mahabadi, Jianfeng Lu, Hossein Salahshoor
Parametrized measures (or Young measures) enable to reformulate non-convex variational problems as convex problems at the cost of enlarging the search space from space of functions…
Model-Free Data-Driven Viscoelasticity in the Frequency Domain
Hossein Salahshoor, Michael Ortiz
We develop a Data-Driven framework for the simulation of wave propagation in viscoelastic solids directly from dynamic testing material data, including data from Dynamic Mechanical…
Non-Schmid Effects In Perfect Single Crystal Metals At Zero Temperature
Hossein Salahshoor, Raj Kumar Pal, Julian J. Rimoli
A long standing postulate in crystal plasticity of metals is that yielding commences once the resolved shear stress on a slip plane reaches a critical value. This assumption, known…