Compactness of numerical solutions to continuity equations on non-cartesian grids

speaker: Pierre-Emmanuel Jabin (Pennsylvania State University)

abstract: We investigate the properties of discretizations of the continuity equation on non-cartesian grids and graphs in general. Advection equations discretized on non-cartesian grids have remained a long-standing challenge as the structure of the grid can lead to strong oscillations in the solution, even for otherwise constant velocity fields. We introduce a new method to track oscillations of the solution for rough velocity fields on any graph. The method in particular highlights some inherent structural conditions on the mesh for propagating regularity on solutions. This is a joint work with D. Zhou.

timetable:
Fri 28 Jan, 17:10 - 18:00,
<< Go back