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A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media

Author

Listed:
  • Xianqi Fang

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China)

  • Wenbin Zhang

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China
    Hebei Key Laboratory of Physics and Energy Technology, North China Electric Power University, Baoding 071003, China)

  • Meiling Zhao

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China
    Hebei Key Laboratory of Physics and Energy Technology, North China Electric Power University, Baoding 071003, China)

Abstract

We present a non-traditional finite element method for the electromagnetic scattering of the partly covered groove filled with multiple media. The non-local boundary condition is introduced to make the unbounded scattering into a bounded domain problem. Non-body-fitted mesh is applied to save the cost of discretizing groove domain greatly. In addition, the level set functions are utilized to describe complex media interfaces and boundaries. Numerical tests demonstrate the effectiveness and second-order convergence rate of the proposed method.

Suggested Citation

  • Xianqi Fang & Wenbin Zhang & Meiling Zhao, 2024. "A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media," Mathematics, MDPI, vol. 12(2), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:2:p:254-:d:1318157
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