题目：An eXtended HDG method for Darcy-Stokes-Brinkman interface problems
主讲人：谢小平，四川大学数学学院教授
日期：2020年11月13日（星期五）
时间：下午16:20- 17:30
地点：数据科学与jbo竞博电竞官方网站 A101
主持：邹青松教授
摘要：We propose an interface/boundary-unfitted eXtended hybridizable discontinuous Galerkin (X-HDG) method for Darcy-Stokes-Brinkman interface problems in two and three dimensions. The method uses piecewise linear polynomials for the velocity approximation and piecewise constants for both the velocity gradient and pressure approximations in the interior of elements inside the subdomains separated by the interface, and uses piecewise constants for the numerical traces of velocity on the inter-element boundaries inside the subdomains as well as on the interface. Optimal error estimates are derived in the piecewise $H^1$-norm for the velocity and in the $L^2$-norm for the velocity and pressure. Numerical experiments confirm the theoretical results.
个人介绍：谢小平，四川大学数学学院教授、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。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，中国计算数学学会理事会常务理事（第八、九届），期刊《Numerical Analysis and Applicable Mathematics》、《计算数学》和《高等学校计算数学学报》编委。长期致力于偏微分方程数值解、有限元法的理论及应用的研究。