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发布时间:2018-12-05 09:50:00 访问次数: 字号:
报告题目:Six different ways of spatial mesh adaptations for nonlinear quenching-combustion equations

报告人:Qin Sheng,Professor,Department of Mathematics and Center for Astrophysics, Space Physics, and Engineering Research (CASPER), Baylor University, Texas, USA

报告时间:2018年12月14日(周五)下午16:00

报告地点:行健楼526学术活动室

ABSTRACT:

Spatial mesh adaptations are often based on an equidistribution principle. In the cases, a new mesh is constructed such that a given monitor function is equidistributed in some sense. Typical choices of the monitor function involve the solution or one of its many derivatives. This constructive strategy has been proven to be extremely effective and easy-to-use in multiphysical computations. However, selections of core monitoring functions are often challenging and crucial to the computational success. This talk concerns several different designs of the monitoring function that targets a highly nonlinear partial differential equation that exhibits both quenching-type and degeneracy singularities. While the first a few monitoring designs to be discussed are within the so-called direct regime, the rest belong to a newer category of the indirect type, which requires the priori-knowledge of certain important solution features or characteristics. Experimental computations will be presented to illustrate our approach and conclusions. Continuing research collaborations with NNU colleagues and students will be considered.

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About Dr. Qin Sheng:

Dr. Sheng received his BS and MS in Mathematics from Nanjing University in 1982, 1985,respectively. He then acquired a Ph.D. degree from the University of Cambridge under the supervision of Professor Arieh Iserles. After his postdoctoral research with Professor Frank T. Smith, FRS, in University College London, he joined National University of Singapore in 1990. Since then, Dr. Sheng was on faculty of several major universities till his joining Baylor University, which is one of known research institutions and the second biggest privateuniversity in the United States. He has been associated with the Mathematics Department andCenter for Astrophysics, Space Physics, and Engineering Research (CASPER). See moredetails from Dr. Sheng's website https://sites.baylor.edu/qin_sheng/ .

Prof. Sheng has been interested in adaptive and splitting computations for solvinglinear and nonlinear partial differential equations. He is also known for the Sheng-Suzuki theoremin numerical analysis. He has published over 110 refereed articles as well as several joint research monographs. He has been an Editor-in-Chief of the SCI journal, International Journal of Computer Mathematics by Taylor and Francis Group since 2010. He gives invited presentations,including keynote lectures, in international conferences constantly. Dr. Sheng's projects have beensupported by several research agencies. He currently advises 2 doctoral students and 2 postdoctoral research fellows. He also has several academic visitors from overseas institutions.