75 citations · 142 across the 12 of their papers we have counts for
13 papers
Physics-Audited Agentic Discovery in Scientific Machine Learning
Diab W. Abueidda, Bilal Ahmed, Panos Pantidis +1
In agentic scientific machine learning (SciML), large language model (LLM) agents can discover surrogate models and select one by an automated score, typically an error metric. A l…
A hybrid IFENN solver for generalizable modeling of phase-field fracture initiation and propagation
Panos Pantidis, Fouad Amin, Diab Abueidda +1
In this paper we demonstrate how the Integrated Finite Element Neural Network (IFENN) framework can effectively model the entire evolution of phase-field fracture, including the in…
I-FENN with DeepONets: accelerating simulations in coupled multiphysics problems
Fouad M. Amin, Diab W. Abueidda, Panos Pantidis +1
Coupled multiphysics simulations for high-dimensional, large-scale problems can be prohibitively expensive due to their computational demands. This article presents a novel framewo…
Time Resolution Independent Operator Learning
Diab W. Abueidda, Mbebo Nonna, Panos Pantidis +1
Accurately learning solution operators for time-dependent partial differential equations (PDEs) from sparse and irregular data remains a challenging task. Recurrent DeepONet extens…
Modified non-local damage model: resolving spurious damage evolution
Roshan Philip Saji, Panos Pantidis, Mostafa E. Mobasher
Accurate prediction of damage and fracture evolution is critical for the safety design and preventive maintenance of engineering structures, however existing computational methods…
Variational PINNs with tree-based integration and boundary element data in the modeling of multi-phase architected materials
Dimitrios C. Rodopoulos, Panos Pantidis, Nikolaos Karathanasopoulos
The current contribution develops a Variational Physics-Informed Neural Network (VPINN)-based framework for the analysis and design of multiphase architected solids. The elaborated…
Integrated Finite Element Neural Network (IFENN) for Phase-Field Fracture with Minimal Input and Generalized Geometry-Load Handling
Panos Pantidis, Lampros Svolos, Diab Abueidda +1
We present a novel formulation for modeling phase-field fracture propagation based on the Integrated Finite Element Neural Network (IFENN) framework. IFENN is a hybrid solver schem…
Image-based adaptive domain decomposition for continuum damage models
Panos Pantidis, Cornelius Otchere, Mostafa E. Mobasher
We present a novel image-based adaptive domain decomposition FEM framework to accelerate the solution of continuum damage mechanics problems. The key idea is to use image-processin…
DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problems
Diab W. Abueidda, Panos Pantidis, Mostafa E. Mobasher
The modern digital engineering design often requires costly repeated simulations for different scenarios. The prediction capability of neural networks (NNs) makes them suitable sur…
I-FENN with Temporal Convolutional Networks: expediting the load-history analysis of non-local gradient damage propagation
Panos Pantidis, Habiba Eldababy, Diab Abueidda +1
In this paper, we demonstrate for the first time how the Integrated Finite Element Neural Network (I-FENN) framework, previously proposed by the authors, can efficiently simulate t…
A new unified arc-length method for damage mechanics problems
Roshan Philip Saji, Panos Pantidis, Mostafa E. Mobasher
The numerical solution of continuum damage mechanics (CDM) problems suffers from convergence-related challenges during the material softening stage, and consequently existing itera…
Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance
Panos Pantidis, Habiba Eldababy, Christopher Miguel Tagle +1
In our recently proposed Integrated Finite Element Neural Network (I-FENN) framework (Pantidis and Mobasher, 2023) we showcased how PINNs can be deployed on a finite element-level…
Integrated Finite Element Neural Network (I-FENN) for non-local continuum damage mechanics
Panos Pantidis, Mostafa E. Mobasher
We present a new Integrated Finite Element Neural Network framework (I-FENN), with the objective to accelerate the numerical solution of nonlinear computational mechanics problems.…