Kaushik Bhattacharya

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 20

Top Topics

Laplace Beltrami

Partial Differential Equations

Ambrosio Tortorelli

Top Venues

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Kaushik Bhattacharya, Nikola B. Kovachki, Aakila Rajan, Andrew M. Stuart, Margaret Trautner
Learning Homogenization for Elliptic Operators. SIAM J. Numer. Anal. 62 (4) (2024)
Mina Karimi, Kaushik Bhattacharya
A learning-based multiscale model for reactive flow in porous media. CoRR (2023)
Kaushik Bhattacharya, Nikola B. Kovachki, Aakila Rajan, Andrew M. Stuart, Margaret Trautner
Learning Homogenization for Elliptic Operators. CoRR (2023)
Mina Karimi, Kaushik Bhattacharya
Accelerated Computational Micromechanics for Reactive Flow in Porous Media. CoRR (2023)
Nikola B. Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar
Neural Operator: Learning Maps Between Function Spaces With Applications to PDEs. J. Mach. Learn. Res. 24 (2023)
Kaushik Bhattacharya, Burigede Liu, Andrew M. Stuart, Margaret Trautner
Learning Markovian Homogenized Models in Viscoelasticity. Multiscale Model. Simul. 21 (2) (2023)
Kaushik Bhattacharya, Burigede Liu, Andrew M. Stuart, Margaret Trautner
Learning Markovian Homogenized Models in Viscoelasticity. CoRR (2022)
Swarnava Ghosh, Kaushik Bhattacharya
Spectral quadrature for the first principles study of crystal defects: Application to magnesium. J. Comput. Phys. 456 (2022)
Zongyi Li, Miguel Liu-Schiaffini, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar
Learning Chaotic Dynamics in Dissipative Systems. NeurIPS (2022)
Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar
Markov Neural Operators for Learning Chaotic Systems. CoRR (2021)
Zongyi Li, Nikola Borislavov Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar
Fourier Neural Operator for Parametric Partial Differential Equations. ICLR (2021)
Nikola B. Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar
Neural Operator: Learning Maps Between Function Spaces. CoRR (2021)
Kaushik Bhattacharya, Bamdad Hosseini, Nikola B. Kovachki, Andrew M. Stuart
Model Reduction and Neural Networks for Parametric PDEs. CoRR (2020)
Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Andrew M. Stuart, Kaushik Bhattacharya, Anima Anandkumar
Multipole Graph Neural Operator for Parametric Partial Differential Equations. NeurIPS (2020)
Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar
Neural Operator: Graph Kernel Network for Partial Differential Equations. CoRR (2020)
Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar
Fourier Neural Operator for Parametric Partial Differential Equations. CoRR (2020)
Hao Zhou, Kaushik Bhattacharya
Accelerated computational micromechanics. CoRR (2020)
Mauricio Ponga, Kaushik Bhattacharya, Michael Ortiz
simulations of dislocations. J. Comput. Phys. 407 (2020)
Zongyi Li, Nikola B. Kovachki, Kamyar Azizzadenesheli, Burigede Liu, Kaushik Bhattacharya, Andrew M. Stuart, Anima Anandkumar
Multipole Graph Neural Operator for Parametric Partial Differential Equations. CoRR (2020)
Stella Brach, Erwan Tanné, Blaise Bourdin, Kaushik Bhattacharya
Phase-field study of crack nucleation and propagation in elastic - perfectly plastic bodies. CoRR (2018)
Sefi Givli, Ha Giang, Kaushik Bhattacharya
Stability of MultiComponent Biological Membranes. SIAM J. Appl. Math. 72 (2) (2012)
Phanish Suryanarayana, Kaushik Bhattacharya, Michael Ortiz
A mesh-free convex approximation scheme for Kohn-Sham density functional theory. J. Comput. Phys. 230 (13) (2011)
Harish Reddy, M. Girish Chandra, P. Balamuralidhar, Harihara S. G., Kaushik Bhattacharya, Edward Joseph
An Improved Time-of-Arrival Estimation for WLAN-Based Local Positioning. COMSWARE (2007)