discrete maximum principle

Locally Discrete Maximum Principle DG finite element method for the transport equation

Manuel Quezada De Luna, Research Scientist, Numerical Mathematics

Mar 20, 12:00 - 13:00

B1 L4 R4214

flux-corrected transport discrete maximum principle transport equation

In this talk we propose a Flux Corrected Transport (FCT)-like stabilization suitable for high-order Discontinuous Galerkin (DG) finite element discretizations. As a model problem we consider the multi-dimensional transport equation. The method guarantees that the solution satisfies a local Discrete Maximum Principle (DMP). A solution is said to satisfy a DMP locally if any degree of freedom is bounded with respect to the solution at the previous time step in some defined neighborhood.

Manuel Quezada De Luna

Research Scientist, Numerical Mathematics

flux-corrected transport discrete maximum principle transport equation

Dr. Suleyman Ulusoy earned both his Ph.D in Mathematics in 2007 and his Master of Science in Applied Mathematics in 2003 from Georgia Institute of Technology in Atlanta, Georgia, USA. He earned both of his Bachelor’s degrees in Mathematics and Mathematics Education from the Middle East Technical University in Ankara, Turkey in 2000. He did postdocs in University of Oslo and University of Maryland. He is currently a faculty member in American University of Ras Al Khaimah.