Title: IEQ approach--A novel numerical approach to solve the Gradient flow problem with high nonlinearity
Speaker: Xiaofeng Yang, University of South Carolina
Time: 10:30am-11:30am, June 21
Venue: A1-512, Main Building
Abstract:
The free energies of gradient flow systems usually consist of various nonlinear potentials formulated in diverse complex formats which present a major challenge in the construction of efficient and accurate time discretization schemes. We overcome this challenge by developing a flexible and robust IEQ approach which enables us to develop time discretization schemes for a large class of gradient flow systems. More precisely, the developed schemes (i) are accurate (up to second order in time); (ii) are stable (unconditional energy dissipation law holds); and (iii) are efficient and easy to implement (only need to solve some positive definite linear system at each time step.
Biographical Sketch:
Dr. Yang got his Ph.D from Purdue University at 2007. He finished his postdoc at University of North Carolina at Chapel Hill at 2009, and started the assistant professorship at University of South Carolina then. He is now a tenured associate professor of USC. His research is about the modeling, numerical analysis and simulations for nonlinear system, in particular the Complex fluids system. He published more than 50 peer reviewed journal papers and was invited to give more than 80 talks and seminars in many conferences, universities and institutes around the world.