On Wed, 22 Mar 2017, Roy Stogner wrote:

> On Mon, 20 Mar 2017, Roy Stogner wrote:
>
>>  I'm starting a branch to do some of these things; I'll let you know
>>  after I push to GitHub.
>
> You can see the start of things at roystgnr/projection_matrix
>
> Some questions that are coming up:
>
> In the complex-valued problem case, are we going to want projection
> matrices to be SparseMatrix<Number> or can we still get away with
> SparseMatrix<Real>?
>
> In the heterogeneous Dirichlet boundary condition case, prolongation
> operations are *not* linear operators unless the Dirichlet BC is
> contained in the trace of the finite element space.  I'm going to
> cross my fingers and hope we can ignore that in the context of
> multigrid solvers, but if anyone knows of any papers that discuss this
> issue I'd love to hear about it.

And some more questions, this time directed at my senior libMesh
developers:

Whose idea was SparseMatrix::attach_dof_map??  Were we *trying* to
stop people from ever creating more than just the one sort of square
matrix?

I finished the code for filling our projection matrices, I dug into
the APIs to figure out what I needed to do to get the sparsity pattern
right first... and I find out it's impossible with the existing API.

Boris:

In the next few months, I'll try to find time at some point to clean
up the SparseMatrix/PetscMatrix interface.  You won't want to wait for
that.

In the near term, see if roystgnr/projection_matrix is enough to get
you started, after you replace each of the APIs-which-use-SparseMatrix
with APIs-which-use-raw-PETSc-Mat.  I haven't tested the code for
obvious reasons, but it's all there and all the metaprogramming
hurdles have been jumped.
---
Roy

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