Automatic Mesh Refinement Process for High-Quality Factor Resonant Cavities Using the Method of Moments

This paper presents an automatic mesh refinement method designed to accurately capture resonant responses in high-quality factor devices using surface integral equations. To validate the method, a solution-based error estimator is proposed to evaluate solution quality and identify elements requiring local mesh refinement. The sensitivity of the local error distribution to frequencies near numerical resonance is examined. To effectively capture the resonant behavior, an automatic h–refinement strategy, combined with frequency sweeping, is introduced. Numerical experiments on slotted cavities with high-quality factor are provided. In addition, the advantages of the proposed error estimator over the widely used residual error estimator are discussed.