一、题目：
Conservation Laws of Contamination Flows and Conservative Domain Decomposition Schemes
二、主讲人：
Dong Liang
三、摘要：
Contamination flows are very important in many applications, which are characterized by transport and nonlinear reaction processes in large-scale and long-term prediction and protection. In general, the nonlinear reactions can be described as the kinetically controlled dissolution precipitation reactions or the geochemical equilibrium reactions as hydrolysis aqueous complexation, oxidation-reduction, ion exchange, surface complexation, and gas dissolution-exsolution reactions. In atmospheric pollution, the reaction process involves nonlinear multicomponent aerosol dynamic process. In this talk, we will first introduce the conservation laws of contamination flows and the coupled nonlinear PDEs for describing contamination flows. We will then present our development of efficient domain-decomposition schemes for solving convection diffusion problems and parabolic problems and for solving contamination flows in parallel computing. We will also present block-centered compact difference methods for solving the time-dependent partial differential equations and report the block-centered compact S-DDM scheme. Numerical experiments are given to show their performances. The developed algorithms work efficiently over multiple sub-domains, which can be applied in simulation of contamination flows.
四、主讲人简介：
梁栋，加拿大约克大学(York University)教授。长期从事偏微分方程数值解、环境和能源数值模拟、多孔介质渗流力学计算方法、计算电磁学等方面的研究工作。在大气环境气溶胶预测、油藏数值模拟、地下水环境计算、Maxwell方程计算、超材料电磁计算研究中取得重要成果。在包括国际学术期刊J. Comput. Phys.; SIAM J. Numer. Anal.; SIAM J. Sci. Comput.; Numer. Math.; IMA J. Appl. Math.; IMA J. Numer. Anal.; Atmos. Environ.; J. Aerosol Sci.; J. Nonlinear Sci.; Comput. Phys. Commun.; J. Sci. Comput.; Int. J. Numer. Methods Engng.; IEEE Trans. Antennas Propagat.; J. Comput. Appl. Math.等发表期刊论文120余篇。2012年获得加拿大国家自然科学基金(NSERC)的DAS奖励。连续承担加拿大国家自然科学基金(NSERC)项目多项，并承担加拿大MITACS项目。
五、邀请人：
蒋晓芸 数学学院教授
六、时间：
5月24日（周三）10:00-11:00
七、地点：
中心校区知新楼B座1044报告厅
八、主办：
山东大学数学学院
