Physics-constrained convolutional neural networks for inverse problems in spatiotemporal partial differential equations

We propose a physics-constrained convolutional neural network (PC-CNN) to solve two types of inverse problems in partial differential equations (PDEs), which are nonlinear and vary both in space and time. In the first inverse problem, we are given data that is offset by spatially varying systematic...

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Bibliographic Details
Main Authors: Daniel Kelshaw, Luca Magri
Format: Article
Language:English
Published: Cambridge University Press 2024-01-01
Series:Data-Centric Engineering
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2632673624000467/type/journal_article
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