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Reinforcement learning closures for underresolved partial differential equations using synthetic data

delete2026-01-22
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PRE
AI
L
Lothar Heimbach
S
Sebastian Kaltenbach
P
Petr Karnakov
F
Francis J. Alexander
P
Petros Koumoutsakos
DOI:10.1016/j.cma.2026.118767delete
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Abstract

Abstract

En 中文
• Introduce a new approach to develop closures for underresolved PDEs in the regime of scarce data. • Generate synthetic training data based on the method of manufactured solutions. • Extend Closure-RL for rewards based on synthetic data. • Develop generalizable learned closure models and verify them for unseen test cases.

Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

Organization

H
Harvard University
Scholars:
26.5W
Papers: 22.0W
Citations: 28.7W
A
Argonne National Laboratory
Scholars:
1.1W
Papers: 9.2K
Citations: 3.8W