Physics informed neural networks for an inverse problem in peridynamic models
Fabio V. Difonzo,
Luciano Lopez,
Sabrina F. Pellegrino
Abstract:Deep learning is a powerful tool for solving data driven differential problems and has come out to have successful applications in solving direct and inverse problems described by PDEs, even in presence of integral terms. In this paper, we propose to apply radial basis functions (RBFs) as activation functions in suitably designed Physics Informed Neural Networks (PINNs) to solve the inverse problem of computing the perydinamic kernel in the nonlocal formulation of classical wave equation, resulting in what we … Show more
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