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A New Method for Initial Estimates in the Numerical Solution of Laplace's Equation

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2 Author(s)
Molberg, J.R. ; Auckland Technical Institute ; Reynolds, D.K.

In the solution of the Laplace equation using finite difference methods, the iteration is often started with all interior points set equal to zero. It has been found that providing initial estimates for the potentials at these interior points can reduce the number of iterations required to reach convergence. This paper presents a technique which is easy to program and may reduce the total computation time significantly.

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Computers, IEEE Transactions on  (Volume:C-24 ,  Issue: 6 )