Highly Efficient Calculation Schemes of Finite-Element Filter Approach for the Eigenvalue Problem of Electric Field

Yu Zhang, Yidu Yang and Jie Liu

Mathematical Problems in Engineering, 2012, vol. 2012, 1-21

Abstract:

This paper discusses finite-element highly efficient calculation schemes for solving eigenvalue problem of electric field. Multigrid discretization is extended to the filter approach for eigenvalue problem of electric field. With this scheme one solves an eigenvalue problem on a coarse grid just at the first step, and then always solves a linear algebraic system on finer and finer grids. Theoretical analysis and numerical results show that the scheme has high efficiency. Besides, we use interpolation postprocessing technique to improve the accuracy of solutions, and numerical results show that the scheme is an efficient and significant method for eigenvalue problem of electric field.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:529498

DOI: 10.1155/2012/529498

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