报告人：芮洪兴 教授（山东大学）

时间：2025年07月22日 10:00-

地点：理科楼LA103

摘要：In this talk, we first propose a divergence free discretization method for the Stokes equations based on P1⊕RT0 - P0 on general simplicial meshes in 2D/3D, which yields an divergence-free and pressure independent velocity approximation with optimal order. The global number of the degrees of freedom is the same as the low order Bernardi-Raugel element. A priori error and a posterior error estimate are obtained. Then we present a pressure-robust mixed element method for the coupled Stokes-Darcy problems using P1⊕RT0 and RT0 elements on Stokes and Darcy regions respectively. Applications to solve the Stokes optimal control problem, the interface problems, the high order divergence-free element are briefly introduced. Numerical experiments illustrate the robustness and accuracy of our method.

邀请人：数学研究中心

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