报告题目： Super-convergence analysis for virtual element methods

报告人：周兆杰老师（山东师范大学）

时  间：2024年11月30日（周六）11：00-12:00

地  点：博学楼416

邀请人: 罗 贤 兵 老师

Abstract: In this talk we focus on super-convergence analysis for virtual element discretization of elliptic problem based on projection method. The local $L^2$ projection to another higher order polynomial space with different mesh was applied to the virtual element solution to produce a new and better approximation of the original function $u$. Based on the super-convergence result, a recovery type a posteriori error estimator is proposed, which is shown to be asymptotically exact. Several numerical examples are carried out to illustrate the theoretical findings.

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