Isolated conductors appear in various electrostatic problems. In simulations, an equipotential condition with a floating (undefined) potential value is enforced on the surface of an isolated conductor. In this work, a numerical scheme making use of the discontinuous Galerkin (DG) method is proposed to model such conductors in electrostatic simulations. A floating-potential boundary condition, which involves the equipotential condition together with a total charge condition, is “weakly” enforced on the conductor surface through the numerical flux. Compared to adaptations of the finite element method used for modeling conductors, the proposed method is more accurate, capable of imposing nonzero charge conditions, and simpler to implement. Numerical results, which demonstrate the accuracy and applicability of the proposed method, are provided.
|Original language||English (US)|
|Title of host publication||2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting|
|State||Published - 2020|
Bibliographical noteKAUST Repository Item: Exported on 2021-02-23
Acknowledged KAUST grant number(s): 2016-CRG5-2953
Acknowledgements: This publication is supported by the KAUST OSR under Award No 2016-CRG5-2953. The authors would like to thank the KAUST Supercomputing Laboratory (KSL) for providing the required computational resources.