Supercloseness and asymptotic analysis of the Crouzeix-Raviart and enriched Crouzeix-Raviart elements for the Stokes problem

主讲人：韩豪（武汉理工大学）

摘要：For the Crouzeix-Raviart and enriched Crouzeix-Raviart elements of the Stokes problem, two pseudostress interpolations are designed and proved to admit a full one-order supercloseness with respect to the numerical velocity and the pressure, respectively. The design of these interpolations overcomes the difficulty caused by the lack of supercloseness of the canonical interpolations for the two nonconforming elements, and leads to an intrinsic and concise asymptotic analysis of numerical eigenvalues for the Stokes operator, which proves an optimal superconvergence of eigenvalues by the extrapolation algorithm. Meanwhile, an optimal superconvergence of postprocessed approximations for the Stokes equation is proved by use of this supercloseness. Finally, numerical experiments are tested to verify the theoretical results.

主讲人简介：韩豪，武汉理工大学数学与统计学院讲师，2022年毕业于华中科技大学并获理学博士学位，2022年至2024年在北京大学数学科学学院从事博士后研究。主要从事延迟微分方程数值算法与理论及结构问题的有限元方法研究。目前，在《J. Sci. Comput.》、《Appl. Numer. Math.》、《Acta Math. Sci.》等SCI期刊发表学术论文多篇。  

邀请人：张诚坚

时间：2026年8月29日10:30-12:30

地点： 科技楼南楼706室