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

Webserver Version

Thermal Contraction Resistance
Forward Problem

Authors: G Rozza & AT Patera
in collaboration with DBP Huynh & NC Nguyen

Evaluation and Visualization Module

The user should first input the parameter μ = [μ1, μ2, μ3, μ4] such that μ in [0.16667, 0.5] × [0.5, 1] × [1, 25] × [1, 25]. The user should also input a numerical parameter that relates to the desired accuracy of the RB output prediction Npr in [1, 16], Ndu in [1, 20]: the error in our prediction decreases as N increases.

The code then displays, for the desired parameter value μ = [μ1, μ2, μ3, μ4], (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 RB prediction relative to the highly accurate (and hence very expensive) "truth'' Finite Element solution.

μ1 in [0.16667, 0.5]:

μ2 in [0.5, 1]:

μ3 in [1, 25]:

μ4 in [1, 25]:

Npr in [1, 16]:

Ndu in [1, 20]:

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