题目：High order mixed finite elements with mass lumping for elasticity on triangular grids
报告人：谢小平教授（四川大学数学学院）
报告时间：2020年7月2日下午3:00-5:00
腾讯会议ID: 357 734 818
摘要: A family of conforming mixed finite elements with mass lumping on triangular grids are presented for linear elasticity. The stress field is approximated by symmetric $H(div)-P_k (k\geq 3)$ polynomial tensors enriched with higher order bubbles so as to allow mass lumping, which can be viewed as the Hu-Zhang elements enriched with higher order interior bubble functions. The displacement field is approximated by $C^{-1}-P_{k-1}$ polynomial vectors enriched with higher order terms to ensure the stability condition. For both the proposed mixed elements and their mass lumping schemes, optimal error estimates are derived for the stress with $H(\rm div)$ norm and the displacement with $L^2$ norm. Numerical results confirm the theoretical analysis.
This is joint work withYan Yang fromSouthwest Petroleum University.
报告人简介：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。现兼任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，中国工业与应用数学学会高性能计算与数学软件专业委员会委员，中国仿真学会集成微系统建模与仿真专业委员会委员。 期刊《Numerical Analysis and Applicable Mathematics》、《计算数学》和《高等学校计算数学学报》编委。第八届世界华人数学家大会（ICCM2019）45分钟报告人。
主要研究领域：偏微分方程数值解，有限元法
