Suppose u 00 = 2, with the boundary condition u(1) = 0 changed to u 0 (1) = 0. This
Chapter 6, Problem 6.5.3(choose chapter or problem)
Suppose u 00 = 2, with the boundary condition u(1) = 0 changed to u 0 (1) = 0. This natural condition on u 0 need not be imposed on the trial functions V. With h = 1 3 , there is an extra half-hat V3, which goes from 0 to 1 between x = 2 3 and x = 1. Compute A33 = R (V 0 3 ) 2dx and f3 = R 2V3dx. Solve Ay = f for the finite element solution y1V1 +y2V2 +y3V3.
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