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physics.comp-ph2026
Towards Unified AI-Driven Fracture Mechanics: The Extended Deep Energy Method (XDEM)
Yizheng Wang, Yuzhou Lin, Somdatta Goswami +8
Physics-Informed Neural Networks (PINNs) have recently emerged as powerful tools for solving partial differential equations (PDEs), with the Deep Energy Method (DEM) proving especi…
physics.comp-ph2026
Neural Hodge Corrective Solvers: A Hybrid Iterative-Neural Framework
Arjun Puthli, Somdatta Goswami, Souvik Chakraborty
We introduce the Neural Hodge Corrective Solver (NHCS), a hybrid iterative-neural framework for partial differential equations that embeds learned corrective operators within the D…