Solving forward and inverse PDE problems on unknown manifolds via physics-informed neural operators

In this paper, we evaluate the effectiveness of deep operator networks (DeepONets) in solving both forward and inverse problems of partial differential equations (PDEs) on unknown manifolds. By unknown manifolds, we identify the manifold by a set of randomly sampled data point clouds that are assume...

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Hauptverfasser:	Jiao, Anran, Yan, Qile, Harlim, Jhn, Lu, Lu
Format:	Artikel
Sprache:	eng
Schlagworte:	Computer Science - Numerical Analysis Mathematics - Numerical Analysis
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