Discretize the following function using three equal length elements between 0 ≤ x ≤ 6. Assume the elements are linear (first-order), and calculate ϕ(x = 3.2) using the finite element method. Compare your answer to the exact solution. ϕ = x(x - 3.5)(x + 3) + 30
Added by Courtney S.
Step 1
Since the domain is 0 ≤ x ≤ 6, the length of the domain is 6. We need to divide it into three equal length elements, so each element will have a length of 6/3 = 2. The nodes will be at x = 0, x = 2, x = 4, and x = 6. Show more…
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