Academic Report
Title: Boundary integral equation methods for the elastic wave
Reporter: Prof. XU Liwei (School of Mathematics Science, University of Electronic Science and Technology)
Time: March 22, 2019 (Friday) AM 9:00-10:00
Location: A1101# room, Innovation Park Building
Contact: Prof. ZHANG Liwei (tel:84708351-8118)
Abstract: In this talk, we will present some new regularized formulations of hyper-singular boundary integral operators associated with the elastic waves in two and three dimensions, and thermal elastic waves in three dimensions. Based on these results, we consider boundary element solutions for the exterior or transmission problems of elastic waves, and elastic waves in open arcs. Numerical examples are presented to verify and validate the theoretical results.
The brief introduction to the reporter: Xu Liwei is a professor, doctoral supervisor and Dean of the School of Mathematical Sciences, University of Electronic Science and Technology. He was a professor, doctoral supervisor and vice president of the School of Mathematics and Statistics, Chongqing University. In August 2012, he was selected as the third group in the Ministry of Youth Thousands Program. In 1999 and 2004, he received his bachelor's and master's degrees in Computational Mathematics from Chongqing University. In May 2009, he received his doctorate in Applied Mathematics from the Department of Mathematics, University of Delaware. From August 2009 to June 2012, he served as RTG Postdoc Fellow of the National Science Foundation (NSF) in the Department of Mathematics, Rensler Institute of Technology, USA. From July 2012 to August 2016, he worked in the School of Mathematics and Statistics, Chongqing University. From September 2016, he has worked in the School of Mathematics Science, University of Electronic Science and Technology. The main research directions are computational fluid dynamics and calculation methods of forward and inverse scattering problems. More than 30 papers have been published and accepted in J. Comp. Phys., SIAM Nume. Anal., SIAM Sci. Comp., J. Sci. Comp., Inve. Prob., Inver. Prob. Imag. and other academic journals of applied and computational mathematics. At present, he is presiding over a key project of the National Natural Science Foundation of China. Social services include members of the Mathematics Steering Committee of the Ministry of Education, the Standing Director and Deputy Secretary-General of the Chinese Mathematics Accounting and Mathematics Branch, members of the Management Committee of the Special Committee of the Chinese Industrial and Applied Mathematics Society and the Liaison Committee of the Local Society, and the Editorial Committee of Computational Mathematics.
