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03/31/2023
The modelling error in multi-dimensional time-dependent solute transport models
Starting from full-dimensional models of solute transport, we derive and...
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02/25/2023
Achieving High Accuracy with PINNs via Energy Natural Gradients
We propose energy natural gradient descent, a natural gradient method wi...
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07/05/2022
The Deep Ritz Method for Parametric p-Dirichlet Problems
We establish error estimates for the approximation of parametric p-Diric...
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11/10/2021
Uniform Convergence Guarantees for the Deep Ritz Method for Nonlinear Problems
We provide convergence guarantees for the Deep Ritz Method for abstract ...
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06/11/2021
Robin Pre-Training for the Deep Ritz Method
We compare different training strategies for the Deep Ritz Method for el...
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05/06/2021
Notes on Exact Boundary Values in Residual Minimisation
We analyse the difference in convergence mode using exact versus penalis...
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03/01/2021
Error Estimates for the Variational Training of Neural Networks with Boundary Penalty
We establish estimates on the error made by the Ritz method for quadrati...
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12/09/2019