# An extended physics informed neural network for preliminary analysis of parametric optimal control problems

@article{Demo2021AnEP, title={An extended physics informed neural network for preliminary analysis of parametric optimal control problems}, author={Nicola Demo and Maria Strazzullo and Gianluigi Rozza}, journal={ArXiv}, year={2021}, volume={abs/2110.13530} }

In this work we propose an extension of physics informed supervised learning strategies to parametric partial differential equations. Indeed, even if the latter are indisputably useful in many applications, they can be computationally expensive most of all in a real-time and many-query setting. Thus, our main goal is to provide a physics informed learning paradigm to simulate parametrized phenomena in a small amount of time. The physics information will be exploited in many ways, in the loss…

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