Simple, Introductory Version for Solving Laplace’s Equation
Subject:
Physics [1]
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This version handles objects in a D=2 universe in rectangular coordinates. Alas many people are unfamiliar with the laws of physics in flatland (D=2). Therefore it might be better to think of this as a D=3 universe in which all D=3 objects are infinitely tall and translationally invariant along the Z axis. This is not the same as considering a thin “D=2” object embedded in the D=3 universe. Rather, each cell represents an area dx∧dy in the XY plane. The spreadsheet to handle this case can be found in reference 1.