Re: [deal.II] Question about (parallel) linear solver

2019-09-11 Thread Wolfgang Bangerth
On 9/11/19 11:03 AM, Konrad wrote: > > That indeed depends on the geometry of the domain and it is not an > obvious result. Example: Think of a 3D hyper-shell with an inner and > outer radius. There is a one-dimensional space of non-trivial radial > vector fields (with respect to the origin) th

Re: [deal.II] Question about (parallel) linear solver

2019-09-11 Thread Konrad
Hi Wolfgang, > > Using approach 1.) I get timing results like that: > > (using MPI with Petsc, AMG preconditioning for *A* on one machine with > > four cores, no preconditioning for the Schur complement *S = > > -B*A^{-1}*B^T + C* from 1.) > > > > Running using PETSc. > > Number of active

Re: [deal.II] Question about (parallel) linear solver

2019-09-11 Thread Wolfgang Bangerth
On 9/11/19 7:04 AM, Konrad wrote: > > The system that needs to be solved formally reads > *(P)   A sigma + B^T u = 0 > * > *        B sigma + C u = f* > > *A* is sort of a mass matrix so it is positive (corresponds to > ** in *H(curl)*) and *C* is positive semi-definite > (corresponds to ** in

[deal.II] Question about (parallel) linear solver

2019-09-11 Thread Konrad
Dear deal.ii community, Apologies for so many questions lately... but here is another one. This one is a bit technical and aims at good solvers. In a simplified form you can formulate it this way: I implemented a PDE solver with a for the 3D vector Laplacian *curl(curl u) - grad(div u) = f*. I