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Table 2 Comparison between SCRBE and FE

From: Component-based reduced basis for parametrized symmetric eigenproblems

  Global FEM SCRBE Relative error
Frequency 1 2.526 Hz 2.532 Hz 0.3%
Frequency 2 2.775 Hz 2.792 Hz 0.6%
Frequency 3 4.984 Hz 5.028 Hz 0.9%
Frequency 4 6.597 Hz 6.688 Hz 1.4%
Frequency 5 7.372 Hz 7.501 Hz 1.7%
RAM usage 12 GB 100 MB  
Solving time 350 s 0.5 s  
  1. For the finite element eigen solver, we used the Krylov-Schur method with a shift and invert transformation, and the MUMPS [25] parallel sparse direct LU solver for matrix inversions, with 4 CPUs.