Discrete maximum principle for the finite element solution of linear non-stationary diffusion-reaction problems

DOI10.1016/j.apm.2007.03.014zbMath1176.65106OpenAlexW1978400971MaRDI QIDQ1031574

Maryem A. T. Elshebli

Publication date: 30 October 2009

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2007.03.014

zbMATH Keywords

maximum principlediscrete maximum principlebilinear finite elementsparabolic problemslinear parabolic equationslinear non-stationary diffusion-reaction problems

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

Related Items

Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems, M-Adaptation in the mimetic finite difference method, Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems, Discrete maximum principle for finite element parabolic models in higher dimensions, A modified weak Galerkin finite element method for a class of parabolic problems

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