Question: Please written by computer source Consider the problem u 00 = f, x (0, 1), u0 (0) = u(1) = 0, where f = const.

Please written by computer source

Consider the problem u 00 = f, x (0, 1), u0 (0) = u(1) = 0, where f = const. Introduce the mesh with h1 = h2 = h3 = h4 = 1/4 and apply the finite element method using quadratic elements on e (1) and e (2) and linear elements on e (3) and e (4) . (i) Find K(f) and F (f) . (ii) Find K and F and then write the numerical method as a linear system KU = F. For each entry of the unknown vector U specify to which mesh node it is assigned.

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