The Numerical Analysis of Laplace's Equation in Cylindrical and Hollow Cylindrical Objects with Rotational Symmetry - Applying to Guard-Ring Capacitor -

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概要

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• Fundamental formulations are given for the potential distribution of a cylindrical and a hollow cylindrical objects with a rotational symmetry. This　procedure is performed by solving Laplace's equation in polar coordinates using the method of separation of variables. By limiting the inner radius of a hollow cylinder to zero, it can be proved that all the formulations for the hollow cylinder become Lo those for the cylinder. A few examples of numericalanalysis are quantitatively done for the boundary conditions with constant potential value on the cylindrical and hollow cylindrical surface. The obtained data with respect to convergence of a series sum and resultant potential distribution are presented for the different boundary conditions.

• 秋田大学の論文

著者

• Soma T

  Hokkaido Univ. Sapporo

• Kagaya Hiroko

  Department of Computer Science and Engineering, Mining College, Akita University

• Ito Shinko

  Department of Computer Science and

• Kagaya Hiroko

  Department Of Computer Science And Engineering Mining College Akita University

• Matsuo Kagaya

  Department of Computer Science and Engineering, Mining College, Akita University

関連論文

• The Numerical Analysis of Laplace's Equation in Cylindrical and Hollow Cylindrical Objects with Rotational Symmetry - Applying to Guard-Ring Capacitor -

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