报告题目：Robust Nonconforming Finite Elements for Linear Strain Gradient Elastic Model

主 讲 人：明平兵研究员

报告时间：9月25日上午10:00

报告地点：数理楼221室

报告摘要：Based on a new H^2-Korn's inequality, we propose new nonconforming elements for the linear strain gradient elastic model. The first group of elements are H^1-conforming but H^2-nonconforming. The tensor product NTW element and the tensor product Specht triangle are two typical representatives. The second element is based on Morley's triangle with a modified elastic strain energy. We proved new interpolation error estimates for all these elements, which are key to prove uniform rates of convergence for the proposed elements. Numerical results are reported and they are consistent with the theoretical prediction. This is a joint work with Zhong-ci Shi and Hongliang Li.

个人简历：明平兵, 中国科学院数学与系统科学研究院研究员，科学与工程计算国家重点实验室副主任。主要从事固体多尺度建模、计算与分析。在Cauchy-Born法则的数学理论、晶体理想强度的计算、拟连续体方法的稳定性和收敛性、多尺度偏微分方程的计算及分析方面均有较为系统的研究工作。曾多次访问美国Princeton大学数学系, 德国Leipzig Max Planck数学研究所。 2014年获得国家杰出青年基金。 应邀在SCADE2009，The SIAM Mathematics Aspects of Materials Science 2016等会议上作大会报告。