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- W4288601944 abstract "The additive Schwarz method is usually presented as a preconditioner for a PDE linearization based on overlapping subsets of nodes from a global discretization. It has previously been shown how to apply Schwarz preconditioning to a nonlinear problem. By first replacing the original global PDE with the Schwarz overlapping problem, the global discretization becomes a simple union of subdomain discretizations, and unknowns do not need to be shared. In this way restrictive-type updates can be avoided, and subdomains need to communicate only via interface interpolations. The resulting preconditioner can be applied linearly or nonlinearly. In the latter case nonlinear subdomain problems are solved independently in parallel, and the frequency and amount of interprocess communication can be greatly reduced compared to linearized preconditioning." @default.
- W4288601944 created "2022-07-29" @default.
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- W4288601944 creator A5074614535 @default.
- W4288601944 date "2019-02-04" @default.
- W4288601944 modified "2023-10-01" @default.
- W4288601944 title "Preconditioned nonlinear iterations for overlapping Chebyshev discretizations with independent grids" @default.
- W4288601944 doi "https://doi.org/10.48550/arxiv.1902.01310" @default.
- W4288601944 hasPublicationYear "2019" @default.
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