Evaluation and Visualization Module
The user should first input the parameter μ = [μ1, μ2, μ3] such that μ in [0.01, 0.5] × [2, 8] × [1, 10]. The user should also input a numerical parameter that relates to the desired accuracy of the reduced basis output prediction Npr in [1, 12], Ndu in [1, 13]: the error in our prediction decreases as N increases.
The code then displays, for the desired parameter value μ = [μ1, μ2, μ3], (i) the contour of the field, and (ii) the value of the output/quantity of interest. In each case, we also provide a certificate of fidelity that rigorously bounds the error in our reduced basis prediction relative to the highly accurate (and hence very expensive) "truth'' Finite Element solution.