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A compact basis for reliable fast frequency sweep via the reduced-basis method

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Fig. 2. Dual-mode circular-waveguide filter geometry. Cavity length:  43.87 mm. Radius: 14 mm
Fig. 4. Linear independence results in the field solutions E(m) for the  dual-mode circular-waveguide filter, (a) Independence with respect to the  eigenmodes in the basis B\, B2, B3, and B4
Fig. 5. Normalized residual error in the reduced-basis approximation when  only the eigenbasis B4 spans the reduced-basis space in the dual-mode filter  example
Fig. 6. Normalized residual error frequency behavior in the reduced-basis  approximation as the reduced-basis space is uplifted following the approach  detailed in Algorithm 2 in the dual-mode filter example, (a) Normalized  residual error in the reduced-b
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