Question: 13. Consider a finite element with three nodes, as shown in the figure. When the solution is appro mated using u(x) = JVi (x)ui +

13. Consider a finite element with three nodes, as shown in the figure. When the solution is appro mated using u(x) = JVi (x)ui + ^2(x)ii2 + N3(x)u3, calculate the interpolation functk N[(x), Nzix), andA'3(x).

Hint: Start with assumed solution in the following form: u(x) = cq + C]X + C2X2.

If !r 12 3 j< ^ ^— 1 m 1 m H

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