| An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications E Samaniego, C Anitescu, S Goswami, VM Nguyen-Thanh, H Guo, ... Computer Methods in Applied Mechanics and Engineering 362, 112790, 2020 | 1181 | 2020 |
| Transfer learning enhanced physics informed neural network for phase-field modeling of fracture S Goswami, C Anitescu, S Chakraborty, T Rabczuk Theoretical and Applied Fracture Mechanics 106, 102447, 2020 | 528 | 2020 |
| A comprehensive and fair comparison of two neural operators (with practical extensions) based on fair data L Lu, X Meng, S Cai, Z Mao, S Goswami, Z Zhang, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 393, 114778, 2022 | 364 | 2022 |
| A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials S Goswami, M Yin, Y Yu, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 391, 114587, 2022 | 240 | 2022 |
| Reliability analysis of structures by iterative improved response surface method S Goswami, S Ghosh, S Chakraborty Structural Safety 60, 56-66, 2016 | 165 | 2016 |
| Physics-informed deep neural operator networks S Goswami, A Bora, Y Yu, GE Karniadakis Machine Learning in Modeling and Simulation: Methods and Applications, 219-254, 2023 | 123 | 2023 |
| Adaptive fourth-order phase field analysis for brittle fracture S Goswami, C Anitescu, T Rabczuk Computer Methods in Applied Mechanics and Engineering 361, 112808, 2020 | 99 | 2020 |
| Deep transfer operator learning for partial differential equations under conditional shift S Goswami, K Kontolati, MD Shields, GE Karniadakis Nature Machine Intelligence 4 (12), 1155-1164, 2022 | 94* | 2022 |
| Learning two-phase microstructure evolution using neural operators and autoencoder architectures V Oommen, K Shukla, S Goswami, R Dingreville, GE Karniadakis npj Computational Materials 8 (1), 190, 2022 | 79 | 2022 |
| Adaptive fourth-order phase field analysis using deep energy minimization S Goswami, C Anitescu, T Rabczuk Theoretical and Applied Fracture Mechanics 107, 102527, 2020 | 74 | 2020 |
| Adaptive phase field analysis with dual hierarchical meshes for brittle fracture S Goswami, C Anitescu, T Rabczuk Engineering Fracture Mechanics 218, 106608, 2019 | 51 | 2019 |
| Laplace neural operator for solving differential equations Q Cao, S Goswami, GE Karniadakis Nature Machine Intelligence, 1-10, 2024 | 45* | 2024 |
| On the influence of over-parameterization in manifold based surrogates and deep neural operators K Kontolati, S Goswami, MD Shields, GE Karniadakis Journal of Computational Physics 479, 112008, 2023 | 38 | 2023 |
| A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation R Bharali, S Goswami, C Anitescu, T Rabczuk Computer Methods in Applied Mechanics and Engineering 394, 114927, 2022 | 35 | 2022 |
| Threshold shift method for reliability-based design optimization S Goswami, S Chakraborty, R Chowdhury, T Rabczuk Structural and Multidisciplinary Optimization 60 (5), 2053-2072, 2019 | 30 | 2019 |
| Learning stiff chemical kinetics using extended deep neural operators S Goswami, AD Jagtap, H Babaee, BT Susi, GE Karniadakis Computer Methods in Applied Mechanics and Engineering 419, 116674, 2024 | 28 | 2024 |
| Neural operator learning of heterogeneous mechanobiological insults contributing to aortic aneurysms S Goswami, DS Li, BV Rego, M Latorre, JD Humphrey, GE Karniadakis Journal of the Royal Society Interface 19 (193), 20220410, 2022 | 26 | 2022 |
| A surrogate assisted adaptive framework for robust topology optimization S Chakraborty, S Goswami, T Rabczuk Computer Methods in Applied Mechanics and Engineering 346, 63-84, 2019 | 23 | 2019 |
| Learning nonlinear operators in latent spaces for real-time predictions of complex dynamics in physical systems K Kontolati, S Goswami, G Em Karniadakis, MD Shields Nature Communications 15 (1), 5101, 2024 | 19* | 2024 |
| Deep neural operators can predict the real-time response of floating offshore structures under irregular waves Q Cao, S Goswami, T Tripura, S Chakraborty, GE Karniadakis Computers & Structures 291, 107228, 2024 | 18 | 2024 |
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu