# von Neumann stability analysis for irregular meshes

All the litterature I have come across about the von Neumann stability analysis is performned on regular grids. Can the analysis be performed analytically on irregular grids, or does it have to be done numerically?

Can you recommend some litterature on this topic?

In general, the time step for finite difference methods (also finite element methods) is limited by the smallest mesh size in your problem. So you carry out your von-Neumann stability analysis as usual, but use the smallest $h$ in your timestep calculation.