On 2/8/21 11:06 AM, Karthikeyan Chockalingam wrote:
Q1) I am not familiar with RE_RaviartThomas elements, is it a vector type
element having dim components,
that is how I see it used in step-20 to represent components of velocities?
Yes.
Q2) How does my FE_System for u and \sigma together look like, let's say I
modify step-8 as?
If RT elements have dim components, then the following system wouldn't make
sense.
FE_System(FE_Q<dim>(degree), dim, FE_RaviartThomas<dim>(degree), dim*dim)
or the below
FE_System(FE_Q<dim>(degree), dim, FE_RaviartThomas<dim>(degree), dim)
The latter.
I had misunderstand that you didn't actually want to use FE_RT. You can also do
FE_System(FE_Q<dim>(degree), dim, FE_Q<dim>(degree), dim*dim)
which is probably closer to your intention.
Q3) Such a system can only be solved using BlockMatrix and BlockVector i.e not
using components alone?
I ask this question because I gather from different postings that PETSc
does not work with Block format.
Blocks are just a convenient way to subdivide a linear system if you want to
compose solvers based on these blocks. If you want to solve a linear system as
a whole, don't use block solvers.
Q4) How do I group components into tensors? Is there a tutorial where a
_tensor system is solved_ you can point me to?
I don't think there is, but it works the same way as it does for vectors. You
might want to read through the vector-valued problems module and the relevant
tutorials.
Best
W.
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Wolfgang Bangerth email: [email protected]
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