I am currently an assistant professor of research at the Division of Applied Mathematics, Brown University. I received my Ph.D. from the Department of Civil Engineering at Bauhaus University-Weimar, Germany in December, 2020, where I was advised by Prof. Timon Rabczuk. Then, I started to work with Prof. George Karniadakis at Brown University as a postdoctoral research associate from January, 2021. I was promoted to assistant professor of research in August, 2022.
Lu, Lu, Meng, Xuhui, Cai, Shengze, Mao, Zhiping, Goswami, Somdatta, Zhang, Zhongqiang, Karniadakis, George Em. "A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data." Computer Methods in Applied Mechanics and Engineering, vol. 393, 2022, pp. 114778. |
Goswami, Somdatta, Yin, Minglang, Yu, Yue, Karniadakis, George Em. "A physics-informed variational DeepONet for predicting crack path in quasi-brittle materials." Computer Methods in Applied Mechanics and Engineering, vol. 391, 2022, pp. 114587. |
Bharali, Ritukesh, Goswami, Somdatta, Anitescu, Cosmin, Rabczuk, Timon. "A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation." Computer Methods in Applied Mechanics and Engineering, vol. 394, 2022, pp. 114927. |
Oommen, Vivek, Shukla, Khemraj, Goswami, Somdatta, Dingreville, Rémi, Karniadakis, George Em. "Learning two-phase microstructure evolution using neural operators and autoencoder architectures." npj Computational Materials, vol. 8, no. 1, 2022. |
Goswami, Somdatta, Li, David S., Rego, Bruno V., Latorre, Marcos, Humphrey, Jay D., Karniadakis, George Em. "Neural operator learning of heterogeneous mechanobiological insults contributing to aortic aneurysms." Journal of The Royal Society Interface, vol. 19, no. 193, 2022. |
Chatterjee, Tanmoy, Chakraborty, Souvik, Goswami, Somdatta, Adhikari, Sondipon, Friswell, Michael I. "Robust topological designs for extreme metamaterial micro-structures." Scientific Reports, vol. 11, no. 1, 2021. |
Goswami, Somdatta, Anitescu, Cosmin, Rabczuk, Timon. "Adaptive fourth-order phase field analysis for brittle fracture." Computer Methods in Applied Mechanics and Engineering, vol. 361, 2020, pp. 112808. |
Goswami, Somdatta, Anitescu, Cosmin, Rabczuk, Timon. "Adaptive fourth-order phase field analysis using deep energy minimization." Theoretical and Applied Fracture Mechanics, vol. 107, 2020, pp. 102527. |
Samaniego, E., Anitescu, C., Goswami, S., Nguyen-Thanh, V.M., Guo, H., Hamdia, K., Zhuang, X., Rabczuk, T. "An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications." Computer Methods in Applied Mechanics and Engineering, vol. 362, 2020, pp. 112790. |
Goswami, Somdatta, Anitescu, Cosmin, Chakraborty, Souvik, Rabczuk, Timon. "Transfer learning enhanced physics informed neural network for phase-field modeling of fracture." Theoretical and Applied Fracture Mechanics, vol. 106, 2020, pp. 102447. |
Chakraborty, Souvik, Goswami, Somdatta, Rabczuk, Timon. "A surrogate assisted adaptive framework for robust topology optimization." Computer Methods in Applied Mechanics and Engineering, vol. 346, 2019, pp. 63-84. |
Goswami, Somdatta, Anitescu, Cosmin, Rabczuk, Timon. "Adaptive phase field analysis with dual hierarchical meshes for brittle fracture." Engineering Fracture Mechanics, vol. 218, 2019, pp. 106608. |
Goswami, Somdatta, Chakraborty, Souvik, Chowdhury, Rajib, Rabczuk, Timon. "Threshold shift method for reliability-based design optimization." Structural and Multidisciplinary Optimization, vol. 60, no. 5, 2019, pp. 2053-2072. |
Goswami, Somdatta, Ghosh, Shyamal, Chakraborty, Subrata. "Reliability analysis of structures by iterative improved response surface method." Structural Safety, vol. 60, 2016, pp. 56-66. |
I have developed models based on physics laws using numerical methods such as isogemetric analysis and deep learning techniques such as physics informed neural networks and deep operator networks to address the challenges of the conventional numerical integration techniques for phase field modeling in quasi-static brittle fracture analysis.
My current research interests are on scientific machine learning and its applications on computational mechanics and biomechanics. In particular, I have been actively involved in the design of learning machines that leverage the underlying physical laws and/or governing equations to extract patterns from high-dimensional data generated from experiments.
Computational grants:
2022: U.S. Department of Energy for ASCR Leadership Computing Challenge (ALCC) award. “A Multiscale Surrogate Model for Fracture Evolution using DeepONet.”
2022: ALCF Director’s Discretionary Allocation Grant for developing and scaling multi-scale fracture codes.
2021: XSEDE startup grant for developing multi-scale codes. Grant Number: CIS210111- Surrogate modeling for multiscale fracture analysis using DeepONets.
2022: Selected for the Argonne Training Program on Extreme-Scale Computing.
2021: INSPIRE Faculty Fellowship, Department of Science and Technology, India.
2021: Postdoctoral Research Associate Funding from the Division of Applied Mathematics, Brown University, USA.
2018: Best Paper Award for presenting Topology optimization under uncertainty at Structural Engineering Convention, 2018.
2017: Deutscher Akademischer Austauschdienst (DAAD) Scholarship for pursuing Ph.D. in Germany.
2011: Ministry of Human Resource and Development, Govt. of India fellowship for pursuing Master of Engineering.