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

Source publication
Preprint
Full-text available
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...

Contexts in source publication

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. ...

Similar publications

Article
Full-text available
In this paper, we describe an a posteriori error analysis for a conforming dual mixed scheme of the Poisson problem with non homogeneous Dirichlet boundary condition. As a result, we obtain an a posteriori error estimator, which is proven to be reliable and locally efficient with respect to the usual norm on Hdiv;Ω×L2Ω. We remark that the analysis...