Abstract

In this chapter model order reduction (MOR) and the forward-backward duality are combined to generate forward and backward reduced models. We show that both resulting models are numerically efficient models and can in most situations reduce the computational effort in comparison with the full order models, when applying ADI and BDF2 time discretization schemes on a centered second-order and Chang-Cooper spatial discretizations, respectively. For the MOR part, a Proper Orthogonal Decomposition approach was taken.

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