Interpretation of parareal as a two-level additive Schwarz in time preconditioner and its acceleration with GMRES
Author:
Funder
Agence Nationale de la Recherche
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s11075-022-01492-8.pdf
Reference30 articles.
1. Lions, J.-L., Maday, Y., Turinici, G.: A “parareal” in time discretization of PDE’s. Comptes Rendus de l’Académie des Sci.- Series I - Math. 332, 661–668 (2001). https://doi.org/10.1016/S0764-4442(00)01793-6
2. Baffico, L., Bernard, S., Maday, Y., Turinici, G., Zérah, G.: Parallel-in-time molecular-dynamics simulations. Phys. Rev. E 66, 057701 (2002). https://doi.org/10.1103/PhysRevE.66.057701
3. Eghbal, A., Gerber, A.G., Aubanel, E.: Acceleration of unsteady hydrodynamic simulations using the parareal algorithm. J. Comput. Sci. 19, 57–76 (2016). https://doi.org/10.1016/j.jocs.2016.12.006
4. Baudron, A.M., Lautard, J.J., Maday, Y., Mula, O.: The parareal in time algorithm applied to the kinetic neutron diffusion equation. In: Domain decomposition methods in science and engineering XXI. Lecture notes in computational science and engineering, pp 437–445. Springer (2014). https://doi.org/10.1007/978-3-319-05789-7_41
5. Baudron, A.M., Lautard, J.J., Maday, Y., Riahi, M.K., Salomon, J.: Parareal in time 3D numerical solver for the LWR benchmark neutron diffusion transient model. J. Comput. Phys. 279(0), 67–79 (2014). https://doi.org/10.1016/j.jcp.2014.08.037
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