Matthew Knepley <[email protected]> writes: > On Wed, Dec 1, 2021 at 5:17 PM Abhyankar, Shrirang G < > [email protected]> wrote: > >> “You can certainly have many fields on a given edge, but I don't know >> what it would mean to have two edges since no topological query could tell >> the difference.” >> >> >> >> The two edges in a power grid represent two parallel power lines that are >> connected between two locations (vertices). There are line ids (stored in >> the component data) to distinguish the two lines. >> > > Yes, so you can tell the difference in the function space (since difference > current passes down each one), but _topologically_ you cannot. If you put > duplicate cells in, then > some topological queries will give unexpected results, like the join of the > two vertices.
This could be modeled with some ghost vertices. So instead of a ------ b \_____/ you would set up a ---o---- b \___o___/ Those ghost vertices don't have to "do" anything, but they make the edges topologically distinct. Shri, what problems might this cause?
