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  1. No Access

    Article

    Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons

    The numerical solution of differential equations using machine learning-based approaches has gained significant popularity. Neural network-based discretization has emerged as a powerful tool for solving differ...

    Wenrui Hao, Qingguo Hong, **anlin ** in Journal of Scientific Computing (2024)

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    Article

    Robust Approximation of Generalized Biot-Brinkman Problems

    The generalized Biot-Brinkman equations describe the displacement, pressures and fluxes in an elastic medium permeated by multiple viscous fluid networks and can be used to study complex poromechanical interac...

    Qingguo Hong, Johannes Kraus, Miroslav Kuchta… in Journal of Scientific Computing (2022)