EM-WaveHoltz: A flexible frequency-domain method built from time-domain solvers
Zhichao Peng, Daniel Appel\"o
TL;DR
EM-WaveHoltz is a new frequency-domain method derived from time-domain Maxwell simulations, enabling efficient iterative solutions with guaranteed convergence away from resonances.
Contribution
It introduces a positive definite system for Maxwell's equations based on time-domain simulations, improving computational efficiency and convergence guarantees.
Findings
Positive definite system for Maxwell's equations
Convergence guaranteed away from resonances
Numerical examples demonstrate method properties
Abstract
A novel approach to computing time-harmonic solutions of Maxwell's equations by time-domain simulations is presented. The method, EM-WaveHoltz, results in a positive definite system of equations which makes it amenable to iterative solution with the conjugate gradient method or with GMRES. Theoretical results guaranteeing the convergence of the method away from resonances is presented. Numerical examples illustrating the properties of EM-WaveHoltz are given.
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