RiemannONets: Interpretable neural operators for Riemann problems

A Peyvan, V Oommen, AD Jagtap… - Computer Methods in …, 2024 - Elsevier
Develo** the proper representations for simulating high-speed flows with strong shock
waves, rarefactions, and contact discontinuities has been a long-standing question in …

Machine learning surrogate for 3D phase-field modeling of ferroelectric tip-induced electrical switching

K Alhada–Lahbabi, D Deleruyelle… - npj Computational …, 2024 - nature.com
Phase-field modeling offers a powerful tool for investigating the electrical control of the
domain structure in ferroelectrics. However, its broad application is constrained by …

[HTML][HTML] Transfer learning for accelerating phase-field modeling of ferroelectric domain formation in large-scale 3D systems

K Alhada-Lahbabi, D Deleruyelle, B Gautier - Computer Methods in …, 2024 - Elsevier
High-throughput phase-field simulations emerge as a compelling technique to predict the
evolution of domain structures in ferroelectric materials. Despite their potential, their …

Beyond Closure Models: Learning Chaotic-Systems via Physics-Informed Neural Operators

C Wang, J Berner, Z Li, D Zhou, J Wang, J Bae… - arxiv preprint arxiv …, 2024 - arxiv.org
Accurately predicting the long-term behavior of chaotic systems is crucial for various
applications such as climate modeling. However, achieving such predictions typically …

Accelerating phase field simulations through a hybrid adaptive Fourier neural operator with U-net backbone

C Bonneville, N Bieberdorf, A Hegde, M Asta… - npj Computational …, 2025 - nature.com
Prolonged contact between a corrosive liquid and metal alloys can cause progressive
dealloying. For one such process as liquid-metal dealloying (LMD), phase field models have …

Reinforcement Learning-Assisted Ferroelectric Domain Wall Design Using a Machine Learning Phase-Field Surrogate

K Alhada− Lahbabi, D Deleruyelle… - ACS Applied Electronic …, 2025 - ACS Publications
Precise manipulation of ferroelectric domain walls (DWs) has garnered increasing interest
for applications in DW memory devices. Although recent advancements in scanning probe …

Deep operator network surrogate for phase-field modeling of metal grain growth during solidification

D Ciesielski, Y Li, S Hu, E King, J Corbey… - Computational Materials …, 2025 - Elsevier
A deep operator network (DeepONet) has been constructed that generates accurate
representations of phase-field model simulations for evolving two dimensional metal grain …

Benchmarking machine learning strategies for phase-field problems

R Dingreville, AE Roberston, V Attari… - … and Simulation in …, 2024 - iopscience.iop.org
We present a comprehensive benchmarking framework for evaluating machine-learning
approaches applied to phase-field problems. This framework focuses on four key analysis …

LeapFrog: Getting the Jump on Multi-Scale Materials Simulations Using Machine Learning

D Pinto, M Greenwood, N Provatas - arxiv preprint arxiv:2406.15326, 2024 - arxiv.org
The development of novel materials in recent years has been accelerated greatly by the use
of computational modelling techniques aimed at elucidating the complex physics controlling …

Rethinking materials simulations: blending numerical simulations with various machine-learning strategies

R Dingreville - Modelling, Data Analytics and AI in Engineering … - madeai-eng.org
Materials simulations are omnipresent across diverse scientific domains including physical,
chemical, biological, and materials sciences. Existing state-of-the-art direct numerical …