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Methods for Solving Elliptic Equations in Curvilinear Orthogonal Coordinates

In: Numerical Methods for Grid Equations

Author

Listed:
  • Aleksandr A. Samarskii

    (Moscow University, Department of Computational, Mathematics and Cybernetics)

  • Evgenii S. Nikolaev

    (Moscow University, Department of Computational, Mathematics and Cybernetics)

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.

Suggested Citation

  • Aleksandr A. Samarskii & Evgenii S. Nikolaev, 1989. "Methods for Solving Elliptic Equations in Curvilinear Orthogonal Coordinates," Springer Books, in: Numerical Methods for Grid Equations, chapter 0, pages 447-487, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9142-4_11
    DOI: 10.1007/978-3-0348-9142-4_11
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