On Mon, Oct 6, 2014 at 10:03 AM, Roy Stogner <[email protected]> wrote:
> > On Mon, 6 Oct 2014, John Peterson wrote: > > Ah, I can almost hear Professor Demkowicz saying "all norms on >> finite dimensional vector spaces are equivalent" :-) >> > > Hah, I should have known someone would bring that up! :-) > > They generate equivalent topologies, but they're not equal metrics, > and it's not an unimportant difference for defining a ball as > "converged". > The definition of "equivalence" i.e. c||x||_0 <= ||x||_1 <= C||x||_0, always seemed a tad broad to me. > Worse, the differences between them diverge with the growth of the > "mass matrix" condition number, i.e. as you refine the mesh. > So, you can't pick c, C above independently of the dimension? Interesting... -- John ------------------------------------------------------------------------------ Slashdot TV. Videos for Nerds. Stuff that Matters. http://pubads.g.doubleclick.net/gampad/clk?id=160591471&iu=/4140/ostg.clktrk _______________________________________________ Libmesh-users mailing list [email protected] https://lists.sourceforge.net/lists/listinfo/libmesh-users
