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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 14, 2008 - Issue 5: Model Order Reduction
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Articles

Multi-parameter polynomial order reduction of linear finite element models

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Pages 421-434 | Received 01 Feb 2007, Accepted 03 Jul 2007, Published online: 02 Oct 2008

Figures & data

Figure 1. Coaxial probe. Geometry and material data. All dimensions are in millimetres.

Figure 1. Coaxial probe. Geometry and material data. All dimensions are in millimetres.

Figure 2. Coaxial probe. Magnitude of reflection coefficient as a function of frequency and relative permeability, as computed by the proposed algorithm.

Figure 2. Coaxial probe. Magnitude of reflection coefficient as a function of frequency and relative permeability, as computed by the proposed algorithm.

Figure 3. Coaxial probe. Magnitude of error in reflection coefficient (37) as a function of frequency and relative permeability.

Figure 3. Coaxial probe. Magnitude of error in reflection coefficient (37) as a function of frequency and relative permeability.

Figure 4. Coaxial probe. Magnitude of error in reflection coefficient (37) as a function of frequency and relative permeability computed by direct implementation of definition (10) and post-orthogonalization.

Figure 4. Coaxial probe. Magnitude of error in reflection coefficient (37) as a function of frequency and relative permeability computed by direct implementation of definition (10) and post-orthogonalization.

Figure 5. Patch antenna. Schematic of the geometry, featuring two different dielectrics. Dimensions are given in Citation21.

Figure 5. Patch antenna. Schematic of the geometry, featuring two different dielectrics. Dimensions are given in Citation21.

Figure 6. Patch antenna. Magnitude of reflection coefficient at ϵ r2 = 3 as a function of frequency and relative permittivity ϵ r1.

Figure 6. Patch antenna. Magnitude of reflection coefficient at ϵ r2 = 3 as a function of frequency and relative permittivity ϵ r1.

Figure 7. Patch antenna. Comparison of ROM with full FE simulations for ϵ r1 = 1 and ϵ r2 = 3.

Figure 7. Patch antenna. Comparison of ROM with full FE simulations for ϵ r1 = 1 and ϵ r2 = 3.

Figure 8. Patch antenna. Magnitude of error in reflection coefficient (37) as a function of frequency. Parameters ϵ r1 = 1, ϵ r2 = 3.

Figure 8. Patch antenna. Magnitude of error in reflection coefficient (37) as a function of frequency. Parameters ϵ r1 = 1, ϵ r2 = 3.

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