Re: [Libmesh-devel] Cubit Hermite Convergence Rates

2011-06-01 Thread Derek Gaston
On Jun 1, 2011, at 11:17 AM, Roy Stogner wrote: > I get O(h^4)/O(h^3) L2/H1 convergence in ex14 after changing that to > HERMITE/3... Indeed... I just heard back from my post-doc and he had something wrong with his MMS runs he fixed it and now he's getting the correct order ;-) "Never a

Re: [Libmesh-devel] Cubit Hermite Convergence Rates

2011-06-01 Thread Roy Stogner
On Wed, 1 Jun 2011, Derek Gaston wrote: > Not sure on that point but we're not getting the convergence > rate we should for a simple scalar poisson problem so there is > something going on there. I get O(h^4)/O(h^3) L2/H1 convergence in ex14 after changing that to HERMITE/3... although

Re: [Libmesh-devel] Cubit Hermite Convergence Rates

2011-06-01 Thread Derek Gaston
On Jun 1, 2011, at 9:12 AM, Dmitry Karpeev wrote: > What is the asymptotic accuracy mixed discretization of a fourth-order > PDE with a second order Lagrange basis? > Not to say that there isn't a problem with Hermite, but it seems to me > that this split lagrange space is richer than > Hermite, s

Re: [Libmesh-devel] Cubit Hermite Convergence Rates

2011-06-01 Thread Dmitry Karpeev
What is the asymptotic accuracy mixed discretization of a fourth-order PDE with a second order Lagrange basis? Not to say that there isn't a problem with Hermite, but it seems to me that this split lagrange space is richer than Hermite, so it should have at least the same accuracy (or better). Dmi

Re: [Libmesh-devel] Cubit Hermite Convergence Rates

2011-06-01 Thread Derek Gaston
On Jun 1, 2011, at 8:28 AM, Jed Brown wrote: > On Wed, Jun 1, 2011 at 15:38, Derek Gaston wrote: > Has anyone done any MMS verification on cubic hermite convergence rates? I > thought they were supposed to be O(h^4) but we're only seeing O(h^2) on a > fairly simple 2D poisson problem with

Re: [Libmesh-devel] Cubit Hermite Convergence Rates

2011-06-01 Thread Jed Brown
On Wed, Jun 1, 2011 at 15:38, Derek Gaston wrote: > Has anyone done any MMS verification on cubic hermite convergence rates? I > thought they were supposed to be O(h^4) but we're only seeing O(h^2) on > a fairly simple 2D poisson problem with an assumed solution of > u=sin(8*pi*x). Are you

Re: [Libmesh-devel] Cubit Hermite Convergence Rates

2011-06-01 Thread Roy Stogner
On Wed, 1 Jun 2011, Derek Gaston wrote: > Has anyone done any MMS verification on cubic hermite convergence rates? Yes, but not in several years; it's entirely possible there's a regression. I'll give it a try to double-check this afternoon. Of course, the long-term solution remains the same:

[Libmesh-devel] Cubit Hermite Convergence Rates

2011-06-01 Thread Derek Gaston
Has anyone done any MMS verification on cubic hermite convergence rates? I thought they were supposed to be O(h^4) but we're only seeing O(h^2) on a fairly simple 2D poisson problem with an assumed solution of u=sin(8*pi*x). We started investigating this because we were doing some compariso