Figure 9 - uploaded by Christian Gierden
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Macroscopic error ¯ E (left) and microscopic error E (right) for the 2D elastic microstructure with one circular inclusion depending on the percentage of used frequencies R for the solution with the fixed and adapted sampling pattern.
Source publication
We present a modified model order reduction (MOR) technique for the FFT-based simulation of composite microstructures. It utilizes the earlier introduced MOR technique (Kochmann et al. [2019]), which is based on solving the Lippmann-Schwinger equation in Fourier space by a reduced set of frequencies. Crucial for the accuracy of this MOR technique i...
Contexts in source publication
Context 1
... macroscopic error ¯ E and the microscopic error E are shown in Figure 9 depending on the reduced set of frequencies R. Since a simple microstructure with only one centered circular inclusion is investigated in this example, the macroscopic (left) and the microscopic errors (right) are in both cases quite low. Nevertheless, the error corresponding to the adapted sampling pattern is always significantly smaller -especially, when the reduced set of frequencies consists only of few frequencies. ...
Context 2
... macroscopic error ¯ E and the microscopic error E are shown in Figure 9 depending on the reduced set of frequencies R. Since a simple microstructure with only one centered circular inclusion is investigated in this example, the macroscopic (left) and the microscopic errors (right) are in both cases quite low. Nevertheless, the error corresponding to the adapted sampling pattern is always significantly smaller -especially, when the reduced set of frequencies consists only of few frequencies. ...
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