Rapid Reliable Solution
of the Parametrized Partial Differential Equations
of Continuum Mechanics and Transport

Webserver Version

The Thermal Fin "Tfin" Problem
Forward Problem

Authors: G Rozza & AT Patera
in collaboration with DBP Huynh, NC Nguyen and, previously, S Sen & S Deparis


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.

μ1 in [0.01, 0.5]:

μ2 in [2, 8]:

μ3 in [1, 10]:

Npr in [1, 12]:

Ndu in [1, 13]:

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