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- W4386875246 abstract "We provide a posteriori error estimates for a discontinuous Galerkin scheme for the parabolic-elliptic Keller-Segel system in 2 or 3 space dimensions. The estimates are conditional, in the sense that an a posteriori computable quantity needs to be small enough - which can be ensured by mesh refinement - and optimal in the sense that the error estimator decays with the same order as the error under mesh refinement. A specific feature of our error estimator is that it can be used to prove existence of a weak solution up to a certain time based on numerical results." @default.
- W4386875246 created "2023-09-20" @default.
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- W4386875246 date "2023-09-16" @default.
- W4386875246 modified "2023-09-27" @default.
- W4386875246 title "A posteriori error control for a Discontinuous Galerkin approximation of a Keller-Segel model" @default.
- W4386875246 doi "https://doi.org/10.48550/arxiv.2309.09036" @default.
- W4386875246 hasPublicationYear "2023" @default.
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