Solving ill-posed Helmholtz problems with physics-informed neural networks
We consider the unique continuation (data assimilation) problem for the Helmholtz equation and study its numerical approximation based on physics-informed neural networks (PINNs). Exploiting the conditional stability of the problem, we first give a bound on the generalization error of PINNs. We the...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2023-07-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1305 |