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This research focuses on developing a hybridizable discontinuous Galerkin method to solve the time-harmonic Maxwell equations effectively.

June 11, 2026

A hybridizable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations

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Randomized trial develops a novel method to solve Maxwell equations, suggesting improved accuracy in computational results.

This research focuses on developing a hybridizable discontinuous Galerkin method to solve the time-harmonic Maxwell equations effectively.
Derived a wavenumber explicit regularity result for error analysis.
Proved a discrete inf-sup condition for all positive mesh sizes and wavenumbers.
Established optimal order error estimates dependent on the wavenumber.
Demonstrated convergence of the HDG method with optimal error estimates.
Confirmed theoretical results through numerical experiments.

(107840) et al. (2026) studied this question.

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