报告题目：A grad-div stabilized Picard-Newton iterative scheme for the steady Navier-Stokes equations

报告人：尚月强 教授

报告时间：2026年3月25日上午9:30

报告地点：数学楼611室

报告摘要：This talk presents a grad-div stabilized Picard-Newton iterative scheme for the steady Navier-Stokes equations. Based on a finite element discretization, each iteration of the scheme sequentially solves an Oseen-type problem followed by a Newton-linearized problem. This approach yields superior numerical performance: it enjoys a larger convergence basin than the standard Newton iteration, while achieving faster convergence and enhanced capability for handling higher Reynolds number flows compared to both the Picard and Newton iterations. We establish an efficient stopping criterion, provide a rigorous convergence analysis for the proposed scheme, and present numerical results to validate its effectiveness.