纪念华东水利学院建院70周年学术活动:学术报告通知(2022-81~82)


发布时间: 2022-11-23     浏览次数: 238

学术报告一

报告题目:Recent advancements in computational mechanics

报告时间:2022年11月25日(周五)15:30 -16:50

报告地点:线上ZOOM会议 

                会议号:886 4860 8460  会议密码:992635

  :Prof. Sundararajan Natarajan(Indian Institute of Technology Madras)

主办单位:河海大学力学与材料学院动力学与控制研究所

欢迎广大师生参加!

报告简介:

Partial differential equations (PDEs) play an important role in a wide range of disciplines. A popular and widely used approach to the solution of the PDEs is the finite element method (FEM). Despite its popularity, FEM suffers from certain drawbacks viz., element shape, large deformation, high gradients/cracks/discontinuities, interpolation fields and geometry representation. This talk will present an overview of different solution methodologies that includes, polygonal FEM, extended FEM, smoothed FEM and scaled boundary FEM.


学术报告二

报告题目:Basic principles of virtual element method and its application to diffusion equation

报告时间:2022年11月25日(周五)17:00 -18:20

报告地点:线上ZOOM会议

                会议号:886 4860 8460     会议密码:992635

  :Prof. Sundararajan Natarajan(Indian Institute of Technology Madras)

主办单位:河海大学力学与材料学院动力学与控制研究所

欢迎广大师生参加!

报告简介:

The Virtual Element Method (VEM) is a competitive discretization scheme for meshes with highly irregular shaped (convex and non-convex) elements and arbitrary number of nodes. Some of interesting features of VEM are (i) VEM can handle element with sides having an interior angle close to 180, (ii) VEM space consists of polynomial space of a specified degree and other non-polynomial functions that are locally solution of a partial differential equation, and (iii) VEM is developed in such a way that the computations can be carried out without actually computing the non-polynomial functions and without explicitly knowing the basis functions. As motivation, VEM is more beneficial in the situations of adaptive mesh refinement (crack/fracture propagation problems, fluid flow problems). VEM allows hanging nodes in the adaptive mesh and the complication of shape functions due to sudden presence of hanging nodes no longer exists, thereby VEM significantly reduces the computational complexity.

In this talk, we discuss the core ideas of VEM, the construction of the finite dimensional VEM space and define suitably the degrees of freedom of the VEM space that solely ensures the computation of local stiffness and mass matrices without the use of quadrature formulas. For exploration, VEM is presented on the two-dimensional diffusion (or Laplace) equation - the formulation of computable discrete scheme, the error estimates (without proofs), and justify the estimates with numerical experiments conducted on different polygonal meshes using higher order VEM. Finally, some implementation aspects of VEM will be presented.


报告人简介:

Dr. Sundararajan Natarajan (Sundar) joined Machine Design Section Department of Mechanical Engineering, Indian Institute of Technology-Madras as an Assistant Professor in 2014. Prior to this Sundar held Postdoctoral Research Fellowship positions in the School of Civil and Environmental Engineering, The University of New South Wales, Sydney, Australia (2012-2014) and in the Department of Aerospace Engineering, Indian Institute of Science Bangalore, India (2011-2012).Sundar received his PhD from the Institute of Mechanics and Advanced Materials, Cardiff School of Engineering, Cardiff University, Wales, UK, under the supervision of Prof. Stephane PA Bordas and Dr. Pierre Kerfriden. Between 2003 and 2008 Sundar was working in the rotating parts center of excellence, GE-Aviation, India Technology Centre, Bangalore India. Sundar graduated with Bachelors in Engineering (Mechanical) from Bharathiar University in 1999. Sundar was awarded Zienkiewicz Best PhD Prize by the Association of Computational Mechanics in Engineering, UK in 2011 for his PhD thesis entitled Enriched finite element methods: Advances &Applications. Sundar is a recipient of Overseas Research Students Awards Scheme and has been awarded Best student paper in the Numerical Analysis Conference held in Edinburgh, UK in 2009.