Methods for Solving Elliptic Equations in Curvilinear Orthogonal Coordinates

Aleksandr A. Samarskii and Evgenii S. Nikolaev
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Aleksandr A. Samarskii: Moscow University, Department of Computational, Mathematics and Cybernetics
Evgenii S. Nikolaev: Moscow University, Department of Computational, Mathematics and Cybernetics

Chapter Chapter 15 in Numerical Methods for Grid Equations, 1989, pp 447-487 from Springer

Abstract: Abstract In this chapter we examine sample solutions to difference problems that approximate boundary-value problems for elliptic equations in curvilinear systems of coordinates. For problems in cylindrical and polar systems of coordinates we clarify the conditions for applying direct and iterative methods, in particular the alternating-directions method.

Keywords: Difference Scheme; Elliptic Equation; Grid Function; Polar Coordinate System; Mixed Derivative (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9142-4_11

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DOI: 10.1007/978-3-0348-9142-4_11

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