Efficient and Memory Saving Method Based on Pseudoskeleton Approximation for Analysis of Finite Periodic Structures

Efficient and Memory Saving Method Based on Pseudoskeleton Approximation for Analysis of Finite Periodic Structures

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An efficient and memory saving method based on pseudoskeleton approximation (PSA) is presented for the effective and accurate analysis of finite periodic moustache stick on structures.Different from the macro basis function analysis model, our proposed method uses the formulations derived by the local Rao-Wilton-Glisson basis functions.PSA is not only used to accelerate the matrix-vector product (MVP) inside the single unit but also adopted to decrease the calculation burden of the coupling between the different cells.Moreover, the number of decomposed coupling matrices is minimized due to the displacement invariance of the periodic property.Consequently, even compared with the multilevel fast multipole algorithm (MLFMA), the new method saves marca corona laurel much more memory resources and computation time, which is also demonstrated by the numerical examples.