Discrete maximum principle for finite element parabolic models in higher dimensions

DOI10.1016/j.matcom.2009.01.017zbMath1214.65052OpenAlexW1993609335MaRDI QIDQ991484

István Faragó

Publication date: 7 September 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.01.017

zbMATH Keywords

numerical experimentsheat conductionfinite elementparabolic equationdiscrete maximum principlehigher dimensionsqualitative propertiesinitial-boundary probleminitial-boundary problemsone-step \(\theta\)-methodreliable modelling

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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)

Related Items (2)

On continuous and discrete maximum principles for elliptic problems with the third boundary condition ⋮ Maximum principle for the finite element solution of time-dependent anisotropic diffusion problems

Cites Work

• Simplicial finite elements in higher dimensions.
• Discrete maximum principle for the finite element solution of linear non-stationary diffusion-reaction problems
• Discrete maximum principle for linear parabolic problems solved on hybrid meshes
• Discrete maximum principle for higher-order finite elements in 1D
• Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems
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