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- W4288282959 abstract "In this paper, we propose to improve the stabilized POD-ROM introduced by S. Rubino in [37] to deal with the numerical simulation of advection-dominated advection-diffusion-reaction equations. In particular, we introduce a stabilizing post-processing strategy that will be very useful when considering very low diffusion coefficients, i.e. in the strongly advection-dominated regime. This strategy is applied both for the offline phase, to produce the snapshots, and the reduced order method to simulate the new solutions. The new process of a posteriori stabilization is detailed in a general framework and applied to advection-diffusion-reaction problems. Numerical studies are performed to discuss the accuracy and performance of the new method in handling strongly advection-dominated cases." @default.
- W4288282959 created "2022-07-28" @default.
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- W4288282959 date "2019-07-12" @default.
- W4288282959 modified "2023-09-29" @default.
- W4288282959 title "A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations" @default.
- W4288282959 doi "https://doi.org/10.48550/arxiv.1907.05614" @default.
- W4288282959 hasPublicationYear "2019" @default.
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