组织者 Organizer：苏春梅

报告摘要：We propose two monolithic  finite element schemes for fluid-structure interaction (FSI) based on the Piola-type Arbitrary Lagrangian-Eulerian (ALE) mapping, where the backward Euler method is applied for the temporal discretization,HDG methods are adopted for the spatial discretization of the incompressible Navier-Stokes equations and the linear elasticity equations, and a continuous Galerkin method is used to solve the mesh movement equation. We  derive stability results for both the semi-discrete and fully discrete schemes, and show that the fully discrete velocity approximation is globally divergence-free. Numerical experiments demonstrate the effectiveness of the proposed methods.

个人介绍：谢小平，四川大学数学学院教授（博导），四川省学术和技术带头人，教育部新世纪优秀人才，德国洪堡学者。主要从事偏微分方程数值解特别是有限元法相关研究工作，在《SIAM J. Numer. Anal.》、《SIAM J. Control Optim.》、《Numer. Math.》、《Math. Mod. Meth. Appl. S.》、《Comput. Methods Appl. Mech. Engrg》等期刊发表论文多篇。曾获教育部自然科学奖二等奖。现兼任四川省普通本科高等学校数学类教学指导委员会秘书长, 中国工业与应用数学学会油水资源数值方法专业委员会副主任委员。