Bound-preserving finite-volume schemes for systems of continuity equations with saturation

We propose finite-volume schemes for general continuity equations which preserve positivity and global bounds that arise from saturation effects in the mobility function. In the case of gradient flows, the schemes dissipate the free energy at the fully discrete level. Moreover, these schemes are gen...

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Bibliographic Details
Main Authors: Bailo, R, Carrillo, JA, Hu, J
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2023