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    Article

    Deep neural operator for learning transient response of interpenetrating phase composites subject to dynamic loading

    Additive manufacturing has been recognized as an industrial technological revolution for manufacturing, which allows fabrication of materials with complex three-dimensional (3D) structures directly from comput...

    Minglei Lu, Ali Mohammadi, Zhaoxu Meng, Xuhui Meng, Gang Li in Computational Mechanics (2023)

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    Open Access

    Physics-informed neural networks for predicting gas flow dynamics and unknown parameters in diesel engines

    This paper presents a physics-informed neural network (PINN) approach for monitoring the health of diesel engines. The aim is to evaluate the engine dynamics, identify unknown parameters in a “mean value” mode...

    Kamaljyoti Nath, Xuhui Meng, Daniel J. Smith, George Em Karniadakis in Scientific Reports (2023)

  3. Article

    Open Access

    Variational inference in neural functional prior using normalizing flows: application to differential equation and operator learning problems

    Physics-informed deep learning has recently emerged as an effective tool for leveraging both observational data and available physical laws. Physics-informed neural networks (PINNs) and deep operator networks ...

    Xuhui Meng in Applied Mathematics and Mechanics (2023)

  4. Article

    Open Access

    Physics-informed neural networks with residual/gradient-based adaptive sampling methods for solving partial differential equations with sharp solutions

    We consider solving the forward and inverse partial differential equations (PDEs) which have sharp solutions with physics-informed neural networks (PINNs) in this work. In particular, to better capture the sha...

    Zhi** Mao, Xuhui Meng in Applied Mathematics and Mechanics (2023)