Discrete Maximum Principles in Finite Element Modelling

Sergey Korotov () and Michal Křížek ()
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Sergey Korotov: University of Jyväskylä, Department of Mathematical Information Technology
Michal Křížek: Academy of Sciences, Mathematical Institute

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 580-586 from Springer

Abstract: Summary Nonobtuse tetrahedral partitions and linear finite elements guarantee the validity of a discrete analogue of the maximum principle for a wide class of parabolic and elliptic problems in the three-dimensional space. In this paper we propose global and local refinement techniques which produce nonobtuse face-to-face tetrahedral partitions of a polyhedral domain.

Keywords: Dihedral Angle; Local Refinement; Linear Finite Element; Polyhedral Domain; Discrete Maximum Principle (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_55

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DOI: 10.1007/978-3-642-18775-9_55

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