A Discontinuous Galerkin Integral Equation Approach for Electromagnetic Modeling of Realistic and Complex Radiating Systems

• Published in: IEEE transactions on antennas and propagation Vol. 71; no. 5; p. 1
• Main Authors: Martin, Victor F., Solis, Diego M., Araujo, Marta G., Landesa, Luis, Obelleiro, Fernando, Taboada, Jose M.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01-05-2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Complexity; Context; Design optimization; Discontinuous Galerkin (DG) method; electric field integral equation (EFIE); Electric fields; Electrical junctions; electromagnetic radiation; Finite element method; Galerkin method; Integral equations; method of moments (MoM); Modelling
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2023.3244001

An electric field integral equation (EFIE) discontinuous Galerkin (DG) formulation for the electromagnetic radiation analysis of realistic antennas is presented. Radiation problems are known to be computationally challenging, involving complex multiscale geometries often made up of a collection of closed and open surfaces. This complexity points to the convenience of separately building and meshing parts with different characteristics, either physical or geometric. This piecewise modelling approach is also desirable in the context of design optimization processes. The proposed formulation fits perfectly into this context by enabling the assembly of independently-meshed surfaces, yet without the need to enforce mesh conformity along the junction contours. The continuity of the normal components of the equivalent current at junctions is enforced using the interior penalty (IP) concept, which is extended to multiple conducting surfaces meeting at a junction.