Kaushik Bhattacharya
- Fourier Neural Operator for Parametric Partial Differential Equations
2020/10/18 by Zongyi Li, Nikola Kovachki, Li, Zongyi +12 · 2 voices · 497 citations
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Model Reduction and Neural Networks #cs.LG #math.NA
- Neural Operator: Graph Kernel Network for Partial Differential Equations
2020/03/07 by Zongyi Li, Li, Zongyi, Nikola Kovachki +11 · 111 citations
Computer Science · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning in Healthcare #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
- Multipole Graph Neural Operator for Parametric Partial Differential Equations
2020/06/16 by Zongyi Li, Li, Zongyi, Nikola Kovachki +11 · 46 citations
Physics and Astronomy · Engineering · Computer Science · #Model Reduction and Neural Networks #Electromagnetic Simulation and Numerical Methods #Computational Physics and Python Applications
- Learning Dissipative Dynamics in Chaotic Systems
2021/06/13 by Zongyi Li, Li, Zongyi, Miguel Liu-Schiaffini +13 · 6 citations
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Model Reduction and Neural Networks
- Plates with Incompatible Prestrain
2016/01/13 by Kaushik Bhattacharya, Marta Lewicka, Mathias Schäffner · 5 citations
Engineering · Materials Science · #Advanced Materials and Mechanics #Liquid Crystal Research Advancements #Structural Analysis and Optimization
- Learning Homogenization for Elliptic Operators
2023/06/21 by Kaushik Bhattacharya, Nikola Kovachki, Bhattacharya, Kaushik +7 · 5 citations
Computer Science · Engineering · #35B27 #35J47 #74H15 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Composite Material Mechanics #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Plates with incompatible prestrain
2014/01/08 by Kaushik Bhattacharya, Marta Lewicka, Bhattacharya, Kaushik +3 · 2 citations
Engineering · Materials Science · #Advanced Materials and Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Liquid Crystal Research Advancements #Mathematical Physics (math-ph) #Structural Analysis and Optimization
- Learning Markovian Homogenized Models in Viscoelasticity
2022/05/27 by Kaushik Bhattacharya, Bhattacharya, Kaushik, Burigede Liu +5 · 4 citations
Computer Science · Engineering · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Model Reduction and Neural Networks
- Comprehensive Study of k-essence Model: Dynamical System Analysis and Observational Constraints from Latest Type Ia Supernova and BAO Observations
2024/06/11 by Saddam Hussain, Hussain, Saddam, Sarath Nelleri +3 · 2 citations
Economics, Econometrics and Finance · #Complex Systems and Time Series Analysis #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #Data Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #Statistics and Probability (physics.data-an)
- Learning constitutive relations from experiments: 1. PDE constrained optimization
2024/12/03 by Andrew Akerson, Aakila Rajan, Akerson, Andrew +3 · 3 citations
Chemical Engineering · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Rheology and Fluid Dynamics Studies
- Specimen design for material parameter identification using topology optimization
2026/07/18 by Adeline Wihardja, Kaushik Bhattacharya
#cond-mat.mtrl-sci