The course is divided into two main parts. In the first part, an introduction to the Method of Moments (MoM) and its application in computational electromagnetics will be provided. This includes a review of the formulation and basic implementation aspects, serving as a foundation for understanding more advanced fast solution techniques. Emphasis will be placed on the need for computational efficiency in large-scale problems. The second part of the course will be devoted to fast methods for accelerating MoM-based solvers. Specifically, techniques such as the Multilevel Fast Multipole Algorithm (MLFMA), Adaptive Cross Approximation (ACA), and H-matrix approaches will be discussed. Furthermore, strategies for improving iterative solver performance, including the use of efficient preconditioners like SPAI and multiresolution (MR), as well as the concept of Krylov subspace recycling, will be explored. Additional acceleration techniques such as SVD-based compression, FFT-based methods, and h-refinement strategies will also be addressed. Throughout the course, students will engage in hands-on exercises using laptops to reinforce theoretical concepts through practical implementation. The contents of the course can be summarized as: Introduction to the Method of Moments and basic implementation (1 hour) Fast solution methods I (2 hours + 1 hour lab): – MLFMA, ACA, and H-matrix methods Fast solution methods II (2 hours + 1 hour lab): – SVD and FFT acceleration techniques – Domain Decomposition methods Preconditioners and solver enhancements (2 hours + 1 hour lab): – SPAI, MR, and Krylov subspace recycling h-refinement strategies

Guest Lecture Victor Francisco Martin Martinez Victor Francisco Martin Martinez, born on April 19, 1995, in Navalmoral de la Mata (Caceres, Spain), is a telecommunication engineer and researcher specializing in computational electromagnetics. He earned his B.S. and M.S. degrees in Telecommunication Engineering from the University of Extremadura (UEx), where he received the First National Prize for Telecommunications Liberalization in 2017. He completed his Ph.D. at UEx in 2022 with summa cum laude, international distinction, and the Extraordinary Doctorate Award, focusing on electromagnetic analysis methods for large-scale structures using high-performance computing. His doctoral work included a research stay at the Politecnico di Torino (Italy), leading to international collaborations and publications. After his Ph.D., he held postdoctoral positions at UEx, the Politecnico di Torino, and the University of Vigo through the prestigious Margarita Salas fellowship. His research has produced numerous high-impact publications, including 18 JCR-indexed papers, and earned him awards such as the Young Scientist Award (URSI-GASS, Japan) and the INDRA Award (URSI, Spain). Since September 2024, he has been an Assistant Professor at Rey Juan Carlos University (URJC), continuing his work on numerical and machine learning methods for electromagnetics. His main research interests include computational electromagnetics, surface integral equations, high-performance computing, and applications in plasmonics and biosensing.

In presenza

Prova di laboratorio di natura pratica sperimentale o informatico

P.D.1-1 - Novembre

Tuesday Nov. 4, 2025, h14-16 Wednesday Nov. 5, 2025 h10-12 & h14-16 Thursday Nov. 6, 2025 h10-12 & h14-17 Tutto il corso sarà in Sala Maxwell, DET, quinto piano