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Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems

✍ Scribed by Faragó, István; Horváth, Róbert

Book ID
118191873
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
290 KB
Volume
28
Category
Article
ISSN
1064-8275

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📜 SIMILAR VOLUMES

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Sufficient conditions of the discrete maximum–minimum principle for parabolic problems on rectangular meshes
✍ Róbert Horváth 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 504 KB

New numerical models for simulation of physical and chemical phenomena have to meet certain qualitative requirements, such as nonnegativity preservation, maximum-minimum principle, and maximum norm contractivity. For parabolic initial boundary value problems, these properties are generally guarantee

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✍ Jan H. Brandts; Sergey Korotov; Michal Křížek 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 761 KB

This paper provides a sufficient condition for the discrete maximum principle for a fully discrete linear simplicial finite element discretization of a reaction-diffusion problem to hold. It explicitly bounds the dihedral angles and heights of simplices in the finite element partition in terms of th