A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media
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 co...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/2/254 |
| _version_ | 1797343057610276864 |
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| author | Xianqi Fang Wenbin Zhang Meiling Zhao |
| author_facet | Xianqi Fang Wenbin Zhang Meiling Zhao |
| author_sort | Xianqi Fang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T10:42:11Z |
| format | Article |
| id | doaj.art-515a0b84cf8a488d8ecc1aa419d29175 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-08T10:42:11Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-515a0b84cf8a488d8ecc1aa419d291752024-01-26T17:31:52ZengMDPI AGMathematics2227-73902024-01-0112225410.3390/math12020254A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple MediaXianqi Fang0Wenbin Zhang1Meiling Zhao2Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, ChinaDepartment of Mathematics and Physics, North China Electric Power University, Baoding 071003, ChinaDepartment of Mathematics and Physics, North China Electric Power University, Baoding 071003, ChinaWe 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.https://www.mdpi.com/2227-7390/12/2/254non-traditional finite element methodpartly covered groovenon-body-fitted mesh |
| spellingShingle | Xianqi Fang Wenbin Zhang Meiling Zhao A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media Mathematics non-traditional finite element method partly covered groove non-body-fitted mesh |
| title | A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media |
| title_full | A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media |
| title_fullStr | A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media |
| title_full_unstemmed | A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media |
| title_short | A Non-Traditional Finite Element Method for Scattering by Partly Covered Grooves with Multiple Media |
| title_sort | non traditional finite element method for scattering by partly covered grooves with multiple media |
| topic | non-traditional finite element method partly covered groove non-body-fitted mesh |
| url | https://www.mdpi.com/2227-7390/12/2/254 |
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