Lecture on "Physical Parameter Dependent Numerical Algorithms for Stokes-Darcy Interface Problems"
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Lecture on "Physical Parameter Dependent Numerical Algorithms for Stokes-Darcy Interface Problems"
DateandTime: 2017-06-19 22:06:04

Speaker: Yanzhao Cao, Professor, Department of Mathematics & Statistics, Auburn University, US

Date: June 19, 2017

Time: 3:00 pm-4:00 pm

Location: Room 1032, Block B, Zhixin Building, Central Campus

Sponsor: the School of Mathematics 


In this talk we present two classes of numerical algorithms for Stokes Darcy interface problems. The first is a domain decomposition method, which solves the Stokes and Darcy problems on their physical domains independently and update the boundary conditions on the interface through iterations. The second is finite element method with temporal step size on each physical domains depending on the physical parameters such as the hydraulic conductivity and the viscosity coefficient. Error analysis as well as numerical experiments will be presented.


Prof.Yanzhao Cao completed his Ph.D. from Virginia Tech University in 1996. He is currently professor of Department of Mathematics & Statistics at Auburn University. His main research interests include numerical solutions for PDEs and stochastic PDEs, numerical solutions for integral equations, computational methods in optimal control of fluid flow, shape optimization, and optimal control under uncertainty. He has published in top journals such as Computers & Mathematics with Applications, Stochastics and Dynamics, Mathematics of Computation, and so on.


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Edited by: Shi Yajie 

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