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José C. Garay, Hannah Mohr, Daniel Peterseim and Christoph Zimmer, Hierarchical Super-Localized Orthogonal Decomposition Method. arXiv:2407.18671 (2024).
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Susanne C. Brenner, José C. Garay and Li-yeng Sung, A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints. J. Sci. Comput. 100, 47 (2024). https://doi.org/10.1007/s10915-024-02590-6.
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José C. Garay, Frédéric Magoulès, Daniel B. Szyld, Synchronous and Asynchronous Optimized Schwarz Method for Poisson's Equation in Rectangular Domains. Electronic Transactions on Numerical Analysis (ETNA), vol. 55 (2022), pp. 744-791.
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Susanne C. Brenner, José C. Garay and Li-yeng Sung, Multiscale Finite Element Methods For An Elliptic Optimal Control Problem With Rough Coefficients. J. Sci. Comput. 91, 76 (2022). https://doi.org/10.1007/s10915-022-01834-7. (parallel code available upon request)
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Susanne C. Brenner, José C. Garay and Li-yeng Sung, Additive Schwarz Preconditioners for a Localized Orthogonal Decomposition Method. Electronic Transactions on Numerical Analysis (ETNA), vol. 54 (2021), pp. 234-255.
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Mireille El Haddad, José C. Garay, Frédéric Magoulès and Daniel B. Szyld, Synchronous and Asynchronous Optimized Schwarz Methods for One-way Subdivision of Bounded Domains. Numerical Linear Algebra with Applications, vol. 27 (2020) paper e2779 (30 pages).
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José C. Garay, Frédéric Magoulès, Daniel B. Szyld, Optimized Schwarz Method for Poisson's Equation in Rectangular Domains. Proceedings of the 24th International Conference on Domain Decomposition Methods. Peter E. Bjostard, Susanne C. Brenner, Laurence Halpern, Hyea Hyun Kim, Ralf Kornhuber, Talal Rahman, and Olof B. Widlund, eds., Lecture Notes in Computer Science and Engineering, vol. 125, Springer, Berlin and Heidelberg, 2018, pages 533-541
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José C. Garay, Frédéric Magoulès, Daniel B. Szyld, Convergence of Asynchronous Optimized Schwarz Methods in the plane. Proceedings of the 24th International Conference on Domain Decomposition Methods. Peter E. Bjostard, Susanne C. Brenner, Laurence Halpern, Hyea Hyun Kim, Ralf Kornhuber, Talal Rahman, and Olof B. Widlund, eds., Lecture Notes in Computer Science and Engineering, vol. 125, Springer, Berlin and Heidelberg, 2018, pages 333-341.
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