Example 4

Apply FEM to solve (calculate degrees of freedom) the Laplace problem (\(f = 0\)) in a discretized area with two identical finite elements \([1], [2]\) and nodes numbered as shown in the figure, \(h = 2\).

Assume Dirichlet boundary conditions \( \hat{T} = 2x \) on part of the boundary (1-2-3) and Neumann boundary conditions \( \hat{q} = 0 \) on the remaining part.

Element \([1]\), with nodes 1, 2, 4, has the stiffness matrix \( K^{el1} = [[MATH_0_BLK]] \).

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