| 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 | 1011 | 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 | 456 | 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 | 277 | 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 | 181 | 2022 |
| Reliability analysis of structures by iterative improved response surface method S Goswami, S Ghosh, S Chakraborty Structural Safety 60, 56-66, 2016 | 157 | 2016 |
| 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 | 89 | 2020 |
| 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 | 87 | 2023 |
| 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 | 60* | 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 | 60 | 2020 |
| 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 | 57 | 2022 |
| Adaptive phase field analysis with dual hierarchical meshes for brittle fracture S Goswami, C Anitescu, T Rabczuk Engineering Fracture Mechanics 218, 106608, 2019 | 47 | 2019 |
| LNO: Laplace Neural Operator for Solving Differential Equations Q Cao, S Goswami, GE Karniadakis arXiv preprint arXiv:2303.10528, 2023 | 32 | 2023 |
| 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 | 31 | 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 | 30 | 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 | 29 | 2019 |
| 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 | 20 | 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 | 19 | 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 | 18 | 2022 |
| Robust topological designs for extreme metamaterial micro-structures T Chatterjee, S Chakraborty, S Goswami, S Adhikari, MI Friswell Scientific Reports 11 (1), 15221, 2021 | 13 | 2021 |
| Adaptive response surface method in structural response approximation under uncertainty S Goswami, S Chakraborty, S Ghosh International Conference on Structural Engineering and Mechanics, 194-202, 2013 | 11 | 2013 |
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu
