The Numerical Solution of a Minimization Problem Associated with a Free Surface Flow

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Abstract
The solution of the differential equation governing the seepage of fluid through a porous dam can be shown to be equivalent to the minimization of a quadratic functional over a fixed rectangular region. The latter problem is solved using the method of finite elements, and the results compared with earlier computations. An analysis of the singularity at the separation point is used to find the position of the separation point.

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