activity
20222026
most citedA Framework Based on Symbolic Regression Coupled with eXtended Physics-Informed Neural Networks for Gray-Box Learning of Equations of Motion from Data

34 citations · 88 across the 11 of their papers we have counts for

collaborators

13 papers

physics.comp-ph2026

Multi-fidelity surrogates for mechanics of composites: from co-kriging to multi-fidelity neural networks

Haizhou Wen, Elham Kiyani, Gang Li +3

Composite materials exhibit strongly hierarchical and anisotropic properties governed by coupled mechanisms spanning constituents, plies, laminates, structures, and manufacturing h…

cs.LG2026

Curvature-Aware Optimization for High-Accuracy Physics-Informed Neural Networks

Anas Jnini, Elham Kiyani, Khemraj Shukla +5

Efficient and robust optimization is essential for neural networks, enabling scientific machine learning models to converge rapidly to very high accuracy -- faithfully capturing co…

physics.flu-dyn2025

GIMLET: Generalizable and Interpretable Model Learning through Embedded Thermodynamics

Suguru Shiratori, Elham Kiyani, Khemraj Shukla +1

We develop a data-driven framework for discovering constitutive relations in models of fluid flow and scalar transport. Under the assumption that velocity and/or scalar fields are…

cs.CE2025

Probabilistic Predictions of Process-Induced Deformation in Carbon/Epoxy Composites Using a Deep Operator Network

Elham Kiyani, Amit Makarand Deshpande, Madhura Limaye +7

Fiber reinforcement and polymer matrix respond differently to manufacturing conditions due to mismatch in coefficient of thermal expansion and matrix shrinkage during curing of the…

cs.LG2025★ 1 cited

Crack Path Prediction with Operator Learning using Discrete Particle System data Generation

Elham Kiyani, Venkatesh Ananchaperumal, Ahmad Peyvan +3

Accurately modeling crack propagation is critical for predicting failure in engineering materials and structures, where small cracks can rapidly evolve and cause catastrophic damag…

cs.LG2025

Optimizing the Optimizer for Physics-Informed Neural Networks and Kolmogorov-Arnold Networks

Elham Kiyani, Khemraj Shukla, Jorge F. Urbán +2

Physics-Informed Neural Networks (PINNs) have revolutionized the computation of PDE solutions by integrating partial differential equations (PDEs) into the neural network's trainin…

physics.comp-ph2025

Predicting Crack Nucleation and Propagation in Brittle Materials Using Deep Operator Networks with Diverse Trunk Architectures

Elham Kiyani, Manav Manav, Nikhil Kadivar +2

Phase-field modeling reformulates fracture problems as energy minimization problems and enables a comprehensive characterization of the fracture process, including crack nucleation…

physics.flu-dyn2024★ 1 cited

PINNs4Drops: Video-conditioned physics-informed neural networks for two-phase flow reconstruction

Maximilian Dreisbach, Elham Kiyani, Jochen Kriegseis +2

Two-phase flow phenomena underpin critical technologies such as hydrogen fuel cells, spray cooling, and combustion, where droplet dynamics govern performance and efficiency. Conven…

physics.flu-dyn2023★ 2 cited

Characterization of partial wetting by CMAS droplets using multiphase many-body dissipative particle dynamics and data-driven discovery based on PINNs

Elham Kiyani, Mahdi Kooshkbaghi, Khemraj Shukla +6

The molten sand, a mixture of calcia, magnesia, alumina, and silicate, known as CMAS, is characterized by its high viscosity, density, and surface tension. The unique properties of…

cs.CE2023★ 2 cited

Designing architectured ceramics for transient thermal applications using finite element and deep learning

Elham Kiyani, Hamidreza Yazdani Sarvestani, Hossein Ravanbakhsh +4

Topologically interlocking architectures can generate tough ceramics with attractive thermo-mechanical properties. This concept can make the material design pathway a challenging t…

cond-mat.dis-nn2023★ 34 cited

A Framework Based on Symbolic Regression Coupled with eXtended Physics-Informed Neural Networks for Gray-Box Learning of Equations of Motion from Data

Elham Kiyani, Khemraj Shukla, George Em Karniadakis +1

We propose a framework and an algorithm to uncover the unknown parts of nonlinear equations directly from data. The framework is based on eXtended Physics-Informed Neural Networks…

cs.CE2022★ 32 cited

Machine Learning-Driven Process of Alumina Ceramics Laser Machining

Razyeh Behbahani, Hamidreza Yazdani Sarvestani, Erfan Fatehi +4

Laser machining is a highly flexible non-contact manufacturing technique that has been employed widely across academia and industry. Due to nonlinear interactions between light and…

physics.comp-ph2022★ 16 cited

Machine learning based data-driven discovery of nonlinear phase-field dynamics

Elham Kiyani, Steven Silber, Mahdi Kooshkbaghi +1

One of the main questions regarding complex systems at large scales concerns the effective interactions and driving forces that emerge from the detailed microscopic properties. Coa…