Evaluation of the source term approximation

Evaluation of the source term approximation

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Estimating the temperature field of a building envelope could be a time-consuming task. The use of a reduced-order method is then proposed: the Proper Generalized Decomposition method. The solution of the transient heat equation is then re-written as a function of its parameters: the boundary conditions, the initial condition, etc. To avoid a treme...

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... term approximation For each metrics introduced hereafter, Figure 3 summarizes the methodology. First, the performance of each basis to approximate the source terms is evaluated by projecting the source terms (actual b and reference b ref ) on the different basis and by then calculating the errors µ as follows: ...
Context 2
... the case of the PGD, this complexity grows linearly with the number of dimensions [17,22]. Figure 13 illustrates the impact of adding a new parameter to the PGD parametric model on the total number of PGD modes. As we increase the number of modes in the approximation basis, we increase the number of parameters in the parametric model. ...

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