This work focuses on the preconditioning and DC stabilization of the time domain electric field integral equation discretized in time with the convolution quadrature method. The standard formulation of the equation suffers from severe ill- conditioning for large time steps and refined meshes, in addition to DC instabilities plaguing standard solutions for late time steps. This work addresses all these issues by preconditioning the TD- EFIE operator matrices with a Calderon approach. Numerical results will corroborate the theory, showing the practical relevance of the proposed advancements.
Calderón Preconditioners for the TD-EFIE discretized with Convolution Quadratures / Cordel, Pierrick; Dely, Alexandre; Merlini, Adrien; Andriulli, Francesco P.. - ELETTRONICO. - (2022), pp. 1672-1673. (Intervento presentato al convegno 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI) tenutosi a Denver, CO, USA nel 10-15 July 2022) [10.1109/ap-s/usnc-ursi47032.2022.9887361].
Calderón Preconditioners for the TD-EFIE discretized with Convolution Quadratures
Pierrick Cordel;Alexandre Dely;Adrien Merlini;Francesco P. Andriulli
2022
Abstract
This work focuses on the preconditioning and DC stabilization of the time domain electric field integral equation discretized in time with the convolution quadrature method. The standard formulation of the equation suffers from severe ill- conditioning for large time steps and refined meshes, in addition to DC instabilities plaguing standard solutions for late time steps. This work addresses all these issues by preconditioning the TD- EFIE operator matrices with a Calderon approach. Numerical results will corroborate the theory, showing the practical relevance of the proposed advancements.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2981979