Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks

Author:

Franck Emmanuel,Michel-Dansac VictorORCID,Navoret Laurent

Publisher

Elsevier BV

Reference62 articles.

1. An approximate well-balanced upgrade of Godunov-type schemes for the isothermal Euler equations and the drift flux model with laminar friction and gravitation;Abbasi;Int. J. Numer. Methods Fluids,2020

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3. Galerkin neural networks: a framework for approximating variational equations with error control;Ainsworth;SIAM J. Sci. Comput.,2021

4. A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows;Audusse;SIAM J. Sci. Comput.,2004

5. Learning data-driven discretizations for partial differential equations;Bar-Sinai;Proc. Natl. Acad. Sci.,2019

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