A finite-element-inspired neural network with locally focused basis blocks and an adaptive refinement loop solves PDEs with sharp features more accurately than standard PINNs in the reported experiments.
The deep Ritz method: a deep learning-based numerical algorithm for solving variational problems
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Adaptive Basis-inspired Deep Neural Network for Solving Partial Differential Equations with Localized Features
A finite-element-inspired neural network with locally focused basis blocks and an adaptive refinement loop solves PDEs with sharp features more accurately than standard PINNs in the reported experiments.