差分法の任意形状格子メッシュへの適用に関する検討

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  • Application of Finite Difference Method to Arbitrary Mesh Points
  • サブンホウ ノ ニンイ ケイジョウ コウシ メッシュ エ ノ テキヨウ ニ カンスル ケントウ

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Presently the finite element method is widely used in the field analysis. It is easily applied to arbitrary mesh points and curved boundaries. On the other hand, it is believed that the finite difference method is applicable primarily to rectangular meshes and that it is difficult to fit the mesh points to curved boundaries. Most of simulation programs for field analysis are written by use of the finite element method. The finite difference method seems to be out of date. This evaluation is not fair to the finite difference method.<br>In this paper, the author likes to make it clear that the finite difference method is applicable to arbitrary mesh points with high accuracy. The finite difference equations of 4th and 3rd order approximation are derived. An example of coaxial electrodes is numerically solved and successfully demonstrates the feasibility.

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