Advanced Modeling and Simulation in Engineering Sciences

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

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.

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