A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity

DOI10.1016/j.jcp.2019.109121zbMath1453.65276arXiv1904.00141OpenAlexW2926294467WikidataQ126788962 ScholiaQ126788962MaRDI QIDQ2223020

Suchuan Dong, ZhiGuo Yang

Publication date: 28 January 2021

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00141

zbMATH Keywords

unconditional stabilitypositivitydissipative systemsconservative systemsenergy stabilityauxiliary variables

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65)

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