ACM Seminar: Robust, Accurate, and Efficient Electromagnetic Simulation for Advanced Engineering Design, Eric Michielssen

Thursday, March 6
3:00pm
LOM 215 or via Zoom

https://yale.zoom.us/j/98266581454

Computational electromagnetics (CEM) has become
indispensable to modern engineering, underpinning
applications spanning photonic devices,
microelectronic systems, antennas, and radar crosssection
analysis. Despite the success of reducedcomplexity
integral equation methods in delivering
error-controlled accuracy, enabling closed-loop design
and real-time system monitoring through high-fidelity
digital twins remains a formidable challenge. A crucial
step is developing broadband solvers that directly
address the hyperbolic nature of Maxwell's timedomain
equations, thereby covering wide frequency
ranges and handling inherently nonlinear behavior. In
this talk, I review recent developments in time-domain
integral equation methods for CEM. I then demonstrate
how Wigner-Smith time-delay concepts—long familiar
in physics but seldom applied in CEM and engineering
design—can be integrated with numerical techniques to
produce robust, error-controllable solvers for ultrawideband
analysis and simulation. These developments
illuminate several fundamental open questions,
including the formulation of well-conditioned integral
equations for multiscale geometries, the development
of unconditionally stable discretizations, the creation of
novel accelerators and domain decomposition schemes,
and the design of adaptive error estimators. I conclude
by highlighting how addressing these challenges could
unlock the full potential of these methods, setting the
stage for pivotal progress in how we conceive, optimize,
and operate electromagnetic systems.