Discrete advection-diffusion equations on graphs: maximum principle and finite volumes

DOI10.1016/j.amc.2019.06.014zbMath1429.65212OpenAlexW2949922428WikidataQ127644623 ScholiaQ127644623MaRDI QIDQ2279635

Jonáš Volek, Radim Hošek

Publication date: 13 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.06.014

zbMATH Keywords

maximum principlegraphfinite volume methoddifference equationadvection-diffusion equationequivolumetric mesh

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Discrete version of topics in analysis (39A12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Ordinary lattice differential equations (34A33) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Linear difference equations (39A06) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items

Degree-biased advection–diffusion on undirected graphs/networks ⋮ Existence of well-centered simplicial face-to-face tiling of five-dimensional space

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