应兰州大学数学与统计学院宋伦继教授的邀请，西安理工大学数学学院沈晓芹教授将于2024年5月28日作学术报告。

报告题目：Numerical methods for linearly elastic shallow shell model

时间：2024年5月28日（周二）上午10:00

地点：观云楼608教室

摘要：In this talk, we share our work on the numerical approximation for the two-dimensional three-component (2D-3C) shallow shell problems. The clamped plate and shallow shell structures are non-negligible in engineering, especially in architectural design, aerospace, and automated manufacturing. Therefore, it is crucial to develop efficient numerical algorithms to analyze their mechanical behavior accurately. In solving such problems, we face two significant challenges. On the one hand, the complex variable coefficient system on the 2D surface complicates the discretization process. On the other hand, the displacement components have a high degree of regularity, further increasing the difficulty of discretization. We introduce discretization schemes of conformingandnonconformingFEMsand virtual elements to meet these challenges. Moreover, the new contributions include well-posedness and stability for the approximate problem and analysis of the convergence of the numerical solution. Finally, numerical results show that the stability and convergence of the numerical schemes are verified.

个人简介

沈晓芹，博士，教授，博士生导师，国家级青年人才入选者，陕西高等学校青年创新团队负责人。长期从事弹性壳体模型、理论与计算方法研究。已在计算数学、应用数学及计算力学领域重要学术期刊发表学术论文50余篇。主持国家自然科学基金4项、省部级及其他项目12项。 研究成果获得陕西省青年科技奖、陕西省自然科学奖二等奖、陕西高等学校科学技术一等奖。

欢迎感兴趣的师生参加！

甘肃应用数学中心

数学与统计学院

萃英学院

2024年5月23日