Consistent finite difference operators that satisfy \(\nabla \cdot \nabla \times =0\)
type: Item
instance of: scholarly article
title: Consistent finite difference operators that satisfy \(\nabla \cdot \nabla \times =0\)
zbMATH Open document ID: 0675.65097
DOI: 10.1016/0021-9991(89)90060-0
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: The problems associated with constructing finite difference operators in noncartesian geometry that satisfy \(\nabla \cdot \nabla \times =0\) are investigated. The final result is given for cylindrical geometry, any interior boundary fitted coordinate system and a wider spectrum of problems which is based on the fact that any above mentioned coordinate system has at least one coordinate singularity where the inverse mapping to cartesian coordinate system is one to one.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 4106197
zbMATH Keywords: finite difference operators
zbMATH Keywords: noncartesian geometry
zbMATH Keywords: cylindrical geometry
author: Edward J. Caramana
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90060-0
OpenAlex ID: W2051734067
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description: scientific article; zbMATH DE number 4106197