Abstract:
The magnetic field surface integral equation for perfect electrically conducting scatterers suffers from accuracy problems when discretized with lowest-order Rao-Wilton-G...Show MoreMetadata
Abstract:
The magnetic field surface integral equation for perfect electrically conducting scatterers suffers from accuracy problems when discretized with lowest-order Rao-Wilton-Glisson (RWG) functions. For high-frequency scattering scenarios, one of the various reported countermeasures are hierarchical higher-order (HO) functions. We demonstrate that the accuracy of these HO methods of up to 1.5th order may be further improved by employing a weak-form discretization scheme for the identity operator inside the magnetic field integral equation (MFIE), in particular for scatterers with sharp edges. As expected, the presented numerical results indicate that this approach becomes less effective for increasing order. Moreover, since the weak-form discretization overcomes only the anisotropy problems of the standard discretizations, parts of the accuracy problems of the MFIE persist for HO discretizations if the testing is performed with non dual-space conforming functions.
Published in: IEEE Journal on Multiscale and Multiphysics Computational Techniques ( Volume: 8)

Chair of High-Frequency Engineering, Department of Electrical Engineering, School of Computation, Information and Technology, Technical University of Munich, Munich, Germany
Jonas Kornprobst (Member, IEEE) received the B.Eng. degree in electrical engineering and information technology from the University of Applied Sciences Rosenheim, Rosenheim, Germany, in 2014, and the M.Sc. and Dr.-Ing. degrees in electrical engineering and information technology from the Technical University of Munich, Munich, Germany, in 2016 and 2022, respectively. From 2016 to 2019, he was a Research Assistant with the...Show More
Jonas Kornprobst (Member, IEEE) received the B.Eng. degree in electrical engineering and information technology from the University of Applied Sciences Rosenheim, Rosenheim, Germany, in 2014, and the M.Sc. and Dr.-Ing. degrees in electrical engineering and information technology from the Technical University of Munich, Munich, Germany, in 2016 and 2022, respectively. From 2016 to 2019, he was a Research Assistant with the...View more

Chair of High-Frequency Engineering, Department of Electrical Engineering, School of Computation, Information and Technology, Technical University of Munich, Munich, Germany
Thomas F. Eibert (Senior Member, IEEE) received the Dipl.-Ing. (FH) degree in electrical engineering from Fachhochschule Nürnberg, Nuremberg, Germany, in 1989, the Dipl.-Ing. degree in electrical engineering from Ruhr-Universität Bochum, Bochum, Germany, in 1992, and the Dr.-Ing. degree in electrical engineering from Bergische Universität Wuppertal, Wuppertal, Germany, in 1997. He is a Full Professor of high-frequency eng...Show More
Thomas F. Eibert (Senior Member, IEEE) received the Dipl.-Ing. (FH) degree in electrical engineering from Fachhochschule Nürnberg, Nuremberg, Germany, in 1989, the Dipl.-Ing. degree in electrical engineering from Ruhr-Universität Bochum, Bochum, Germany, in 1992, and the Dr.-Ing. degree in electrical engineering from Bergische Universität Wuppertal, Wuppertal, Germany, in 1997. He is a Full Professor of high-frequency eng...View more

Chair of High-Frequency Engineering, Department of Electrical Engineering, School of Computation, Information and Technology, Technical University of Munich, Munich, Germany
Jonas Kornprobst (Member, IEEE) received the B.Eng. degree in electrical engineering and information technology from the University of Applied Sciences Rosenheim, Rosenheim, Germany, in 2014, and the M.Sc. and Dr.-Ing. degrees in electrical engineering and information technology from the Technical University of Munich, Munich, Germany, in 2016 and 2022, respectively. From 2016 to 2019, he was a Research Assistant with the Chair of High-Frequency Engineering, Department of Electrical and Computer Engineering, Technical University of Munich. In 2020, he has joined the Electronics Research and Development Department, Dr. Johannes Heidenhain GmbH, Traunreut, Germany.
Jonas Kornprobst (Member, IEEE) received the B.Eng. degree in electrical engineering and information technology from the University of Applied Sciences Rosenheim, Rosenheim, Germany, in 2014, and the M.Sc. and Dr.-Ing. degrees in electrical engineering and information technology from the Technical University of Munich, Munich, Germany, in 2016 and 2022, respectively. From 2016 to 2019, he was a Research Assistant with the Chair of High-Frequency Engineering, Department of Electrical and Computer Engineering, Technical University of Munich. In 2020, he has joined the Electronics Research and Development Department, Dr. Johannes Heidenhain GmbH, Traunreut, Germany.View more

Chair of High-Frequency Engineering, Department of Electrical Engineering, School of Computation, Information and Technology, Technical University of Munich, Munich, Germany
Thomas F. Eibert (Senior Member, IEEE) received the Dipl.-Ing. (FH) degree in electrical engineering from Fachhochschule Nürnberg, Nuremberg, Germany, in 1989, the Dipl.-Ing. degree in electrical engineering from Ruhr-Universität Bochum, Bochum, Germany, in 1992, and the Dr.-Ing. degree in electrical engineering from Bergische Universität Wuppertal, Wuppertal, Germany, in 1997. He is a Full Professor of high-frequency engineering with the Technical University of Munich, Munich, Germany, where he is currently also the Academic Program Director responsible for the study courses in the professional profile electrical and computer engineering.
Thomas F. Eibert (Senior Member, IEEE) received the Dipl.-Ing. (FH) degree in electrical engineering from Fachhochschule Nürnberg, Nuremberg, Germany, in 1989, the Dipl.-Ing. degree in electrical engineering from Ruhr-Universität Bochum, Bochum, Germany, in 1992, and the Dr.-Ing. degree in electrical engineering from Bergische Universität Wuppertal, Wuppertal, Germany, in 1997. He is a Full Professor of high-frequency engineering with the Technical University of Munich, Munich, Germany, where he is currently also the Academic Program Director responsible for the study courses in the professional profile electrical and computer engineering.View more