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Finite Element Method with Applications in Engineering by T. L. Eldho, Y. M. Desai

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7.8 ILLUSTRATIVE EXAMPLES

Based on the Galerkin FEM formulation given in Section 7.5, a computer program has been developed using the FORTRAN for the Laplace equation. The program can be used for homogeneous and non-homogeneous media problems. The program is tested with the problem mentioned below. The detailed program listing is given in Appendix G.

Example 1–Potential Variation in Porous media

Determine the potential variation in a homogeneous iso-tropic porous media of length 100 m and width 30 m. As shown in Figure 7.23, the potential at one side of the porous media is 300 m and the opposite side is 100 m. Other two sides of the section are considered as impervious.

Solution:

The problem is solved as a two-dimensional problem using the Laplace ...

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