Dear sir, I am working on a project pertaining to Indirect boundary element method for 2D laplace equation. my problem is a Cauchy type problem where on one part of the boundary potential values are given and on the other part flux values are given. I need to find both potential or flux value at any interior point. I am able to approximate the potential in terms of summation of unknown source densities multiplied with integration of fundamental solution over each boundary element. But, I am unable to find an expression of flux value in terms of flux/potential value to solve the problem. Please help.

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