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The steady state heat distribution in a plane region is modeled by two dimensional Laplace equation. In this paper Galerkin technique has been used to construct Finite Element model for two dimensional steady heat flow problem with Dirichlet boundary conditions in a rectangular domain. Results are then compared with analytic solution to check the accuracy of the developed scheme.

M. Shabbir, M. Rafiq, M.O.Ahmed, A.Pervaiz, R.Siddique. (2012) Finite Element Solution for Two Dimensional Laplace Equation with Dirichlet Boundary Conditions, Pakistan Journal of Engineering and Applied Sciences, Volume 10, Issue 1.
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