國家理論科學研究中心學術演講

NCTS Seminar in

Applied Math. & Scientific Computation 

 Speaker :        Prof. Zhilin Li 李治林
                       (North Carolina State University)

 Topic     :       Augmented Techniques for Interface/Irregular

                       Domain Problems and Applications

 Time      :       April 9 (Friday) PM 2:30 - 4:00

 Abstract :　

     In order to solve some interface/irregular domain problems, it is advantageous to use an augmented technique in which one or several intermediate variables called augmented variables are introduced. With these augmented variables, it is easier to discretize the partial differential equation. More important, fast solvers that are designed for regular problems or regular domains can be used. I will explain this technique with examples of elliptic interface problems with large jumps in the coefficient; fast Poisson/biharmonic solvers on irregular domains (interior or exterior); and two phase Stokes flows with large jump in the viscosity.  For the last example, new jump conditions of the pressure and the velocity are coupled together. The augmented approach seems to be the only way to solve the problem accurately.

                           National Center for Theoretical Sciences
                           4th Floor, The 3rd General Building,
                           National TsingHua University, Hsinchu