Some sufficient conditions for the non-negativity preservation property in the discrete heat conduction model

DOI10.1016/j.cam.2010.05.051zbMath1198.65198OpenAlexW2006409058MaRDI QIDQ1959473

Tamás T. Szabó

Publication date: 7 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.05.051

zbMATH Keywords

numerical experimentstridiagonal matrix algorithmheat conduction equationtime discretizationspace discretizationnon-negativity preservationlinear finite element method\(\Theta \)-method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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• On the Discretization Time-Step in the Finite Element Theta-Method of the Discrete Heat Equation
• Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems

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