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*From*: John Mallinckrodt <ajmallinckro@CSUPOMONA.EDU>*Date*: Fri, 9 Feb 2001 06:51:07 -0800

On Fri, 9 Feb 2001, Ludwik Kowalski wrote:

And what is the corresponding formula for "a" when it has

six neighbors (3-dim)? Suppose f and g are added in the phi

direction. I do not trust myself in trying to answer this

question on the basis of the general theoretical formula.

Ludwik Kowalski

You don't want to (and really can't, I think) go there with a 2-d

spreadsheet. Fortunately, the isolated disk capacitor has

azimuthal symmetry so all derivatives in the phi direction vanish.

The spreadsheet universe for this problem is a plane that includes

the symmetry axis and the full 3-d picture emerges by rotating it

around that axis.

Similarly BTW, In the usual 2-d cartesian relaxation scheme, we

implicitly assume no out-of-the-plane variations. John D's "dog"

is not, therefore, "one block thick." It is a cross sectional

slice of a structure that is extended infinitely in both

directions in and out of the plane.

John Mallinckrodt mailto:ajm@csupomona.edu

Cal Poly Pomona http://www.csupomona.edu/~ajm

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