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

Author

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  • Yu Zhang
  • Yidu Yang
  • Jie Liu

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.

Suggested Citation

  • Yu Zhang & Yidu Yang & Jie Liu, 2012. "Highly Efficient Calculation Schemes of Finite-Element Filter Approach for the Eigenvalue Problem of Electric Field," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-21, December.
    • Handle: RePEc:hin:jnlmpe:529498
    DOI: 10.1155/2012/529498
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