A new DG algorithm, Decreased-overhead Gradual Sharpness-Aware Minimization (DGSAM), has been introduced.DGSAM aims to reduce sharpness consistently across domains while maintaining computational efficiency.Experiments show that DGSAM outperforms state-of-the-art DG methods in terms of robustness and performance.DGSAM reduces computational overhead compared to the popular approach of Sharpness-Aware Minimization (SAM).