# Solutions of the Finite Difference Discretized Laplace Equation

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This Demonstration shows the dependence of the solution of the finite difference discretized Laplace equation on a square grid as a function of the given values at the discretization nodes.

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Contributed by: Michael Trott with permission of Springer (March 2011)

From: *The Mathematica Guidebook for Programming*, *second edition* by Michael Trott (© Springer, 2008).

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

For various results on the constellations of determining sets for the Laplace equation, see

A. Rubinstein, J. Rubinstein and G. Wolansky, "Determining Sets for the Discrete Laplacian," SIAM Review, 49(2), 2007 pp. 315-324. DOI‐Link.