סמינר "A TUTORIAL ON INTEGRAL EQUATION SPECTRA AND CALDERON PRECONDITIONING STRATEGIES ELECTROMAGNETICS"

Professor Francesco Andriulli :
Department of Electronics and Telecommunications 
Politecnico di Torin, Turin, Italy 

IAS Distinguished Lecturer, 2021-2022 

 Tutorial “A TUTORIAL ON INTEGRAL EQUATION SPECTRA AND CALDERON PRECONDITIONING STRATEGIES IN ELECTROMAGNETICS” 

Abstract 
This tutorial will provide an introduction to Calderon and related operator based preconditioning for electromagnetic boundary value problems. Calderon methods permit the construction of rapidly convergent iterative solvers for electric and combined field integral equations and as such are a perfect complement to fast multipole and related accelerators. Applications of Calderon-enhanced integral equation solvers range from antenna analysis to the characterization of microwave devices and circuits, the analysis of electromagnetic compatibility phenomena, and the synthesis of metamaterials. The tutorial will briefly review the main spectral properties of the most common integral operators in electromagnetics and will overview both theoretical and practical issues related to the development and implementation of Calderon-enhanced integral equation solvers. The tutorial will also briefly introduce the incorporation of Calderon preconditioners and related operator strategies into existing integral equation codes and their interaction with fast matrix-vector multiplication schemes.