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Volume 19, Issue 4
Boundary Element Method with High Order Impedance Boundary Conditions in Electromagnetics

Christian Daveau, Abil Aubkirov & Paul Soudais

Int. J. Numer. Anal. Mod., 19 (2022), pp. 458-486.

Published online: 2022-06

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  • Abstract

In this paper, we study boundary element method with high order impedance boundary conditions (HOIBC) to solve Maxwell’s equations. The unknowns are electric and magnetic currents $\mathbf{J}$ and $\mathbf{M}.$ We propose several formulations and study the existence and uniqueness of the solution. Then, we discretize these formulations with a finite element method based on Lagrange elements. We give numerical tests of the HOIBC solution.

  • Keywords

Boundary element method, scattering problem, high order impedance boundary condition.

  • AMS Subject Headings

65R20, 65N38, 32A55

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-19-458, author = {Daveau , ChristianAubkirov , Abil and Soudais , Paul}, title = {Boundary Element Method with High Order Impedance Boundary Conditions in Electromagnetics}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2022}, volume = {19}, number = {4}, pages = {458--486}, abstract = {

In this paper, we study boundary element method with high order impedance boundary conditions (HOIBC) to solve Maxwell’s equations. The unknowns are electric and magnetic currents $\mathbf{J}$ and $\mathbf{M}.$ We propose several formulations and study the existence and uniqueness of the solution. Then, we discretize these formulations with a finite element method based on Lagrange elements. We give numerical tests of the HOIBC solution.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/20655.html} }
TY - JOUR T1 - Boundary Element Method with High Order Impedance Boundary Conditions in Electromagnetics AU - Daveau , Christian AU - Aubkirov , Abil AU - Soudais , Paul JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 458 EP - 486 PY - 2022 DA - 2022/06 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/20655.html KW - Boundary element method, scattering problem, high order impedance boundary condition. AB -

In this paper, we study boundary element method with high order impedance boundary conditions (HOIBC) to solve Maxwell’s equations. The unknowns are electric and magnetic currents $\mathbf{J}$ and $\mathbf{M}.$ We propose several formulations and study the existence and uniqueness of the solution. Then, we discretize these formulations with a finite element method based on Lagrange elements. We give numerical tests of the HOIBC solution.

Daveau , ChristianAubkirov , Abil and Soudais , Paul. (2022). Boundary Element Method with High Order Impedance Boundary Conditions in Electromagnetics. International Journal of Numerical Analysis and Modeling. 19 (4). 458-486. doi:
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