报告题目：Efficient and structure-preservingschemes for complex nonlinear models

报告人：李晓丽，山东大学

报告时间：5月23日 10:00-11:00

报告地点：管理楼1418

摘要：

In this talk, we first   propose two efficient fully-discrete schemes for the Q-tensor flow.   The discrete energy dissipation laws are unconditionally satisfied for   both two constructed schemes. A particular feature is that, for two-dimensional   (2D) and a kind of three-dimensional (3D) Q-tensor flows, the unconditional   maximum-bound-principle (MBP) preservation of the constructed first-order   scheme is successfully established, and the proposed second-order scheme   preserves the discrete MBP property with a mild restriction on the time-step   sizes. Next we present several high-order and physics-preserving numerical   schemes for thermodynamically consistent model of incompressible and   immiscible two-phase flow in porous media. 

个人简介：

李晓丽，山东大学教授，博士生导师，国家高层次青年人才入选者，山东省杰青，山东大学杰出中青年学者。担任中国数学会计算数学分会常务理事，CSIAM油水资源专委会秘书长。主要研究领域为偏微分方程数值解与计算流体力学。在SIAM   J. Numer. Anal., SIAM J. Sci. Comput., Math. Comp., J. Fluid Mech.,   Math. Mod. Meth. Appl. Sci.及J Comput. Phys.等计算数学高水平期刊上发表学术论文多篇。主持国家自然科学基金面上项目、重点项目子课题、青年项目等多个国家及省部级项目。