### Abstract

Original language | English |
---|---|

Pages (from-to) | 1-12 |

Journal | Indagationes Mathematicae A: Mathematical sciences |

Volume | 78 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1975 |

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### Cite this

*Indagationes Mathematicae A: Mathematical sciences*,

*78*(1), 1-12. https://doi.org/10.1016/1385-7258(75)90008-6

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*Indagationes Mathematicae A: Mathematical sciences*, vol. 78, no. 1, pp. 1-12. https://doi.org/10.1016/1385-7258(75)90008-6

**Iterative solution of a discrete axially symmetric potential problem.** / Boersma, J.; le Grand, P.

Research output: Contribution to journal › Article › Academic

TY - JOUR

T1 - Iterative solution of a discrete axially symmetric potential problem

AU - Boersma, J.

AU - le Grand, P.

PY - 1975

Y1 - 1975

N2 - The Dirichlet problem for the axially symmetric potential equation in a cylindrical domain is discretized by means of a five-point difference approximation. The resulting difference equation is solved by point or line iterative methods. The rate of convergence of these methods is determined by the spectral radius of the underlying point or line Jacobi matrix. An asymptotic approximation for this spectral radius, valid for small mesh size, is derived.

AB - The Dirichlet problem for the axially symmetric potential equation in a cylindrical domain is discretized by means of a five-point difference approximation. The resulting difference equation is solved by point or line iterative methods. The rate of convergence of these methods is determined by the spectral radius of the underlying point or line Jacobi matrix. An asymptotic approximation for this spectral radius, valid for small mesh size, is derived.

U2 - 10.1016/1385-7258(75)90008-6

DO - 10.1016/1385-7258(75)90008-6

M3 - Article

VL - 78

SP - 1

EP - 12

JO - Indagationes mathematicae

JF - Indagationes mathematicae

SN - 0019-3577

IS - 1

ER -