activity
20162026
most citedhp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition

833 citations · 1.1k across the 10 of their papers we have counts for

collaborators

12 papers

math-ph2026

Site-scale, Multi-resolution WRF Wind Modeling with Observational Nudging for Methane Emission Monitoring in the Permian Basin

Ehsan Kharazmi, Erin Menezes, George Karniadakis +2

Accurate methane source localization and emission-rate estimation at oil and gas facilities require wind fields that resolve site-scale spatial and temporal variability, which cann…

cs.LG2025★ 1 cited

DeepVIVONet: Using deep neural operators to optimize sensor locations with application to vortex-induced vibrations

Ruyin Wan, Ehsan Kharazmi, Michael S Triantafyllou +1

We introduce DeepVIVONet, a new framework for optimal dynamic reconstruction and forecasting of the vortex-induced vibrations (VIV) of a marine riser, using field data. We demonstr…

math.NA2021

Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation

Min Cai, Ehsan Kharazmi, Changpin Li +1

We develop fractional buffer layers (FBLs) to absorb propagating waves without reflection in bounded domains. Our formulation is based on variable-order spatial fractional derivati…

math.NA2020★ 2 cited

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Structures

Jorge L. Suzuki, Pegah Varghaei, Ehsan Kharazmi +1

Fractional models and their parameters are sensitive to changes in the intrinsic micro-structures of anomalous materials. We investigate how such physics-informed models propagate…

cs.NE2020★ 833 cited

hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition

Ehsan Kharazmi, Zhongqiang Zhang, George Em Karniadakis

We formulate a general framework for hp-variational physics-informed neural networks (hp-VPINNs) based on the nonlinear approximation of shallow and deep neural networks and hp-ref…

cs.NE2019★ 199 cited

Variational Physics-Informed Neural Networks For Solving Partial Differential Equations

E. Kharazmi, Z. Zhang, G. E. Karniadakis

Physics-informed neural networks (PINNs) [31] use automatic differentiation to solve partial differential equations (PDEs) by penalizing the PDE in the loss function at a random se…