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Forward uncertainty quantification (UQ) for partial differential equations is a many-query task that requires a significant number of model evaluations. The objective of this work is to mitigate the computational cost of UQ for a 3D-1D multiscale com
Externí odkaz:
http://arxiv.org/abs/2402.08494
Nonlinear model order reduction for problems with microstructure using mesh informed neural networks
Many applications in computational physics involve approximating problems with microstructure, characterized by multiple spatial scales in their data. However, these numerical solutions are often computationally expensive due to the need to capture f
Externí odkaz:
http://arxiv.org/abs/2309.07815
Publikováno v:
In Computers in Biology and Medicine May 2024 173
Nonlinear model order reduction for problems with microstructure using mesh informed neural networks
Publikováno v:
In Finite Elements in Analysis & Design 1 February 2024 229
Autor:
Vitullo, Piermario1 (AUTHOR), Cicci, Ludovica1,2 (AUTHOR), Possenti, Luca3,4 (AUTHOR), Coclite, Alessandro5 (AUTHOR), Costantino, Maria Laura4 (AUTHOR), Zunino, Paolo1 (AUTHOR) paolo.zunino@polimi.it
Publikováno v:
International Journal for Numerical Methods in Biomedical Engineering. Nov2023, Vol. 39 Issue 11, p1-27. 27p.
Akademický článek
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