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[Lecture] Virtual Elements, a Paradigm for Numerical Analysis in Engineering?
May. 12, 2023


Speaker: Professor Dr.-Ing. habil. Peter Wriggers, Leibniz University Hannover

Time: 15:00-16:30 p.m., May 12, 2023, GMT+8

Venue: Zoom Meeting ID: 871 7413 4485 Passcode: 389812

Abstract:

The Virtual Element Method (VEM) is a recent methodology for the ap­proximation of problems described by partial differential equations. Virtual elements can be considered as a generalization of finite elements.  The main asset of the virtual element method is the possibility of using mesh elements with arbitrary geometrical forms, thus allowing very complex meshes. Such feature opens up a significant flexibility for the discretization, even for low order ansatz spaces. So far, the method has been applied to problems in solid and fluid mechanics including the treatment of unilateral constraints and to different coupled problems describing electromagneto-mechanical responses. Besides obvious advantages VEM has also disadvantages. These will be discussed in the light of engineering applications using VEM. Furthermore, we will inves­tigate the relations with the Finite Element Method and show specific also here advantages and disadvantages.

Biography:

Professor Dr.-Ing. habil. P. Wriggers studied Civil Engineering at the University Hannover, he obtained his Dr.-Ing degree at the University Hannover in 1980 on “Contact-impact problems”. From 1983-84 he was Visiting Scholar at the UC Berkeley, USA. In 1990 he was appointed as Full Professor at the Institute of Mechanics at TH Darmstadt. In 1998 Prof. Wriggers changed to the Leibniz University Hannover where he held the chairs for Mechanics in Civil Engineering and in  Mechanical Engineering. Since April 2022 he is Emeritus Professor at Leibniz Universität Hannover and was awarded the status of “Leibniz Emeritus”. From 2003 to 2004 he held the position of “Linkage Professor” at the University of Newcastle in NSW, Australia. From 2014 to 2021 he was Vice-President for Research of the Leibniz University Hannover. Peter Wriggers is member of the “Braunschweigische Wissenschaftliche Gesellschaft”, the Academy of Science and Literature in Mainz, the German National Academy of Engineering “acatech” and the National Academy of Croatia. He was President of GAMM, President of GACM and Vice-President of IACM. Furthermore, he acts as Editor-in-Chief for the International Journal Computational Mechanics” and “Computational Particle Mechanics”. He was awarded the Fellowship of IACM and received the “Computational Mechanics Award” and the “IACM Award” of IACM, the “Euler Medal” of ECCOMAS, the Grand Prize of the Japan Society (JSCES), the “Zienkiewicz Medal” of the Polish Association (PACM) as well as three honorary degrees from the Universities of Poznan, ENS Paris-Saclay and TU Darmstadt.

Source: College of Engineering