TS: high-order with Galerkin spatial discretization, semi-explicit index-1 DAE

2009-03-20 Thread Jed Brown
On Thu 2009-03-19 08:04, Matthew Knepley wrote: > Okay, I understand now. You are correct that this formulation should > be available. In fact, I think it should be possible to make this the > bottom of the hierarchy, with the linear case a specialization, and > the identity case a specialization

TS: high-order with Galerkin spatial discretization, semi-explicit index-1 DAE

2009-03-19 Thread Jed Brown
On Wed 2009-03-18 18:34, Matthew Knepley wrote: > Not a whole lot. Needs to go slower, since I think there are a bunch > of embedded assumptions, and I worry that the most simple, general > interface cannot be seen until they are clarified. I want it spelled > out very very explicitly. So, to begin

TS: high-order with Galerkin spatial discretization, semi-explicit index-1 DAE

2009-03-19 Thread Matthew Knepley
Okay, I understand now. You are correct that this formulation should be available. In fact, I think it should be possible to make this the bottom of the hierarchy, with the linear case a specialization, and the identity case a specialization of that (with a MF application). This is a good chance to

TS: high-order with Galerkin spatial discretization, semi-explicit index-1 DAE

2009-03-18 Thread Jed Brown
On Wed 2009-03-18 13:59, Matthew Knepley wrote: > I cannot understand why you cannot use TSSetMatrices() TSSetMatrices is only for linear problems and doesn't generalize nicely to nonlinear problems, especially with matrix-free methods. The functionality I'm looking for involves a possibly variab

TS: high-order with Galerkin spatial discretization, semi-explicit index-1 DAE

2009-03-18 Thread Matthew Knepley
On Wed, Mar 18, 2009 at 5:27 PM, Jed Brown wrote: > On Wed 2009-03-18 13:59, Matthew Knepley wrote: > > I cannot understand why you cannot use TSSetMatrices() > > TSSetMatrices is only for linear problems and doesn't generalize nicely > to nonlinear problems, especially with matrix-free methods.

TS: high-order with Galerkin spatial discretization, semi-explicit index-1 DAE

2009-03-18 Thread Matthew Knepley
I could not understand the post. We will have to go more slowly. To begin, I cannot understand why you cannot use TSSetMatrices() http://www.mcs.anl.gov/petsc/petsc-as/snapshots/petsc-dev/docs/manualpages/TS/TSSetMatrices.html#TSSetMatrices Thanks, Matt On Tue, Mar 17, 2009 at 9:15 PM,

TS: high-order with Galerkin spatial discretization, semi-explicit index-1 DAE

2009-03-18 Thread Jed Brown
I have a use for high-order implicit strong stability preserving integrators and plan to write a TS implementation based on some known optimal methods (cf. Gottlieb, Ketcheson, Shu 2009). There are two cases of interest that I don't think TS can currently handle. Suppose we are using a Galerkin d