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Approximation basis error as a function of the number of modes for several training periods

Approximation basis error as a function of the number of modes for several training periods

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Figure 3. Evaluation of the source term approximation
Figure 18. Approximation basis error as a function of the number of...
Parametric PGD model used with orthogonal polynomials to assess efficiently the building's envelope thermal performance
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  • Nov 2021
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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Context 1
... accuracy of the approximation of the source term is studied for various training data-sets. The results are presented on figure 18. The error is plotted for the various number of modes in the approximation basis: N ∈ [2, 8]. ...
Context 2
... could be also due to the discretization ∆ζ. To encounter the same method ranking as the one presented in Figure 18, the POD coefficients may need to be discretized more finely. ...

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