Floating-Potential Boundary Conditions using Discontinuous Galerkin Method
KAUST DepartmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number2016-CRG5-2953
Permanent link to this recordhttp://hdl.handle.net/10754/667539
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AbstractIsolated 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.
CitationChen, L., Dong, M., & Bagci, H. (2020). Floating-Potential Boundary Conditions using Discontinuous Galerkin Method. 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting. doi:10.1109/ieeeconf35879.2020.9329709
SponsorsThis 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.
Conference/Event name2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting