SPLIT-PINN: Separable Probability Learning Technique via Physics-Informed Neural Networks for High-Dimensional Probabilistic Modeling
P. Behnoudfar, D. N. Ponnana, N. J. Schmelzer, J. Wanni, G. T. Gray III, et al.
Journal of the Mechanics and Physics of Solids, 106777, 2026
Generalized-α Methods for the Navier–Stokes–Cahn–Hilliard Equations
T. Van Sluijs, S. Stoter, P. Behnoudfar, H. van Brummelen
International Journal of Numerical Methods for Heat & Fluid Flow, 36 (7), 2026
Operator-Based Mixture Ensemble for Generative Assimilation
P. Behnoudfar, N. Chen
arXiv preprint arXiv:2606.20920, 2026
RL-DAUNCE: Reinforcement Learning-Driven Data Assimilation with Uncertainty-Aware Constrained Ensembles
P. Behnoudfar, N. Chen
Journal of Computational Physics, 115035, 2026
Bridging Idealized and Operational Models: An Explainable AI Framework for Earth System Emulators
P. Behnoudfar, C. Moser, M. Bocquet, S. Cheng, N. Chen
npj Climate and Atmospheric Science, 9 (1), 65, 2026
Efficient Numerical Integration for Finite Element Trunk Spaces in 2D and 3D Using Machine Learning: A New Optimisation Paradigm to Construct Application-Specific Quadrature Rules
T. Teijeiro, P. Behnoudfar, J. M. Taylor, D. Pardo, V. M. Calo
Journal of Computational Physics, 114634, 2025
Bridging the Model Hierarchy: A Physics-Guided Machine Learning Framework for High-Resolution Climate Simulation Enhancement
C. Moser, P. Behnoudfar, M. Bocquet, S. Cheng, N. Chen
AGU Fall Meeting Abstracts, OS33E-1175, 2025
Physics-Informed Diffusion Model for Super-Resolution and Surrogate Modelling of Time-Dependent Partial Differential Equations
M. R. Hasan, P. Behnoudfar, F. Nugen, T. Poulet, T. Gedeon
EAGE Workshop on Enhancing Subsurface Practices using AI/ML, 1, 1–5, 2025
Fate, Distribution, and Transport Dynamics of Indium in a Polymetallic Mine Waste Environment: An Integrated Mineralogical Characterisation and Geochemical Modelling Study
O. Mejías, T. Poulet, P. Behnoudfar, L. Jackson, J. Freeman, T. R. Jones, et al.
Science of the Total Environment, 998, 180268, 2025
PC-SRGAN: Physically Consistent Super-Resolution Generative Adversarial Network for General Transient Simulations
M. R. Hasan, P. Behnoudfar, D. MacKinlay, T. Poulet
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2025
Adaptive-Stabilized Finite Element Methods for Eigenvalue Problems Based on Residual Minimization onto a Dual Discontinuous Galerkin Norm
P. Behnoudfar, A. Hashemian, Q. Deng, V. M. Calo
Journal of Computational Physics, 519, 113421, 2024
Transient-Pressure Modelling in Fractured Porous Media with a New Embedded Finite Element Approach
B. V. Damirchi, P. Behnoudfar, L. A. G. Bitencourt Jr., O. L. Manzoli, et al.
Advances in Water Resources, 190, 104730, 2024
Higher‐Order Generalized‐α Methods for Parabolic Problems
P. Behnoudfar, Q. Deng, V. M. Calo
International Journal for Numerical Methods in Engineering, 125 (13), e7485, 2024
Slip Tendency Analysis from Sparse Stress and Satellite Data Using Physics‐Guided Deep Neural Networks
T. Poulet, P. Behnoudfar
Geophysical Research Letters, 51 (12), e2024GL109524, 2024
Retrieving Stress and Elastic Properties Distributions from Stress Orientation and Satellite Data Using Physics-Informed Machine Learning
T. Poulet, P. Behnoudfar
European Geosciences Union General Assembly 2024 (EGU24), 1400, 2024
Automatic Variationally Stable Analysis for Finite Element Computations: Transient Convection-Diffusion Problems
E. Valseth, P. Behnoudfar, C. Dawson, A. Romkes
Computers & Mathematics with Applications, 157, 15–26, 2024
Physics-Informed Neural Network Reconciles Australian Displacements and Tectonic Stresses
T. Poulet, P. Behnoudfar
Scientific Reports, 13 (1), 23095, 2023
Impact of Permeability Anisotropy Misalignment on Flow Rates Predicted by Hydrogeological Models
T. Poulet, H. A. Sheldon, U. Kelka, P. Behnoudfar
Hydrogeology Journal, 31 (8), 2129–2137, 2023
Challenges of Fluid Flow Modelling in Faulted Porous Media
T. Poulet, P. Behnoudfar
2nd EAGE Workshop on Fluid Flow in Faults and Fracture-Modelling, 2023
A Kronecker Product Linear-Cost Solver for the High-Order Generalized-α Method for Multi-Dimensional Hyperbolic Systems
V. M. Calo, P. Behnoudfar, M. Łoś, M. Paszyński
Computers & Mathematics with Applications, 142, 257–267, 2023
Physics-Informed Spectral Learning: The Discrete Helmholtz–Hodge Decomposition
L. Espath, P. Behnoudfar, R. Tempone
arXiv preprint arXiv:2302.11061, 2023
SoftIGA: Soft Isogeometric Analysis
Q. Deng, P. Behnoudfar, V. M. Calo
Computer Methods in Applied Mechanics and Engineering, 403, 115705, 2023
An Explicit Predictor/Multicorrector Time Marching with Automatic Adaptivity for Finite-Strain Elastodynamics
N. A. Labanda, P. Behnoudfar, V. M. Calo
Journal of Computational Physics, 472, 111696, 2023
A Boundary-Penalized Isogeometric Analysis for Second-Order Hyperbolic Equations
Q. Deng, P. Behnoudfar, V. M. Calo
Journal of Computational Science, 64, 101861, 2022
A Variational Splitting of High-Order Linear Multistep Methods for Heat Transfer and Advection–Diffusion Parabolic Problems
P. Behnoudfar, V. M. Calo, M. Łoś, P. Maczuga, M. Paszyński
Journal of Computational Science, 63, 101807, 2022
Localized Folding of Thick Layers
P. Behnoudfar, B. E. Hobbs, A. Ord, L. Espath, V. M. Calo
Journal of Structural Geology, 161, 104669, 2022
Explicit High-Order Generalized-α Methods for Isogeometric Analysis of Structural Dynamics
P. Behnoudfar, G. Loli, A. Reali, G. Sangalli, V. M. Calo
Computer Methods in Applied Mechanics and Engineering, 389, 114344, 2022
ADI-Based, Conditionally Stable Schemes for Seismic P-Wave and Elastic Wave Propagation Problems
M. Łoś, P. Behnoudfar, M. Dobija, M. Paszyński
Bulletin of the Polish Academy of Sciences: Technical Sciences, e141985, 2022