题目: Recent advances in the scaled boundary finite element method for wave problems
报告人：Professor Carolin Birk
Professor Carolin Birk is a university professor in Department of Civil Engineering, University of Duisburg-Essen in Germany. She obtained her PhD from Dresden University of Technology(Technische Universität Dresden), Germany in 2004. She was Research Assistant in Dresden University of Technology from 1999~2009, visiting scholar and lecture in University of New South Wales from 2009~2015. Her research focuses on computational mechanics, structural dynamics, scaled boundary finite element method, wave propagation, thermal stress analysis, structural acoustics and soil-structure interaction. She has published 35 refereed journal papers, 27 refereed conference papers. Now, her research work was funded by MERCUR Research Centre Ruhr. She received the Vice Chancellor’s Award for Teaching Excellence in 2014 in University of New South Wales, Australia, K.J. Bathe Award for the Best Paper by a Young Researcher in the Field of Computational Engineering published in the International Journal Computers & Structures during 2006-2007.
Wave propagation problems are of importance in many engineering applications, including soil-structure interaction, structural acoustics and wave-based methods of non-destructive testing. The numerical modelling of such problems is challenging for several reasons: Waves in unbounded domains require methods that can represent radiation damping accurately and efficiently. In bounded domains, certain mesh requirements must be satisfied to minimize dispersion and dissipation errors. These depend on the material parameters and render the analysis of high-frequency problems a computationally expensive task. All of these challenges can be addressed successfully by using the scaled boundary finite element method. Due to its semi-analytical nature, the SBFEM can be used to represent radiation damping rigorously. In the boundary discretization high-order elements can be employed easily. This presentation summarizes recent advances of the scaled boundary finite element method for wave problems. These include both convolution-based and continued-fraction based formulations for wave propagation in unbounded domains, automatic mesh generation techniques for waves in highly heterogeneous bounded domains and highly efficient methods for modelling guided wave propagation. Several examples will be presented to illustrate the respective theoretical approaches.
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