G.l.8 Numerical Analysis, Partial Differential Equations-difference methods, Algorithms, Laplace's equation
This tutorial discusses Laplace's equation for steady state heat flow in a two-dimensional region with fixed temperatures on the boundaries. The equilibrium temperatures are computed for a square grid using successive overrelaxation with parity ordering of the grid elements. The numerical method is illustrated by a Pascal algorithm. We assume that the reader is familiar with elementary calculus.
Hansen, Per Brinch, "Numerical Solution of Laplace's Equation" (1992). Electrical Engineering and Computer Science Technical Reports. Paper 168.