Thank you Barry. This is great!

I plan to solve using ‘-pc_type redistribute’ after applying the Dirichlet bc 
using

MatZeroRowsColumnsIS(A, isout, 1, x, b);


While I retrieve the solution data from x (after the solve) – can I index them 
using the original ordering (if I may say that)?

Kind regards,
Karthik.

From: Barry Smith <[email protected]>
Date: Tuesday, 10 January 2023 at 16:04
To: Chockalingam, Karthikeyan (STFC,DL,HC) <[email protected]>
Cc: [email protected] <[email protected]>
Subject: Re: [petsc-users] Eliminating rows and columns which are zeros

https://petsc.org/release/docs/manualpages/PC/PCREDISTRIBUTE/#pcredistribute   
-pc_type redistribute


It does everything for you. Note that if the right hand side for any of the 
"zero" rows is nonzero then the system is inconsistent and the system does not 
have a solution.

Barry



On Jan 10, 2023, at 10:30 AM, Karthikeyan Chockalingam - STFC UKRI via 
petsc-users <[email protected]> wrote:

Hello,

I am assembling a MATIJ of size N, where a very large number of rows (and 
corresponding columns), are zeros. I would like to potentially eliminate them 
before the solve.

For instance say N=7

0 0  0  0 0 0 0
0 1 -1  0 0 0 0
0 -1 2  0 0 0 -1
0 0  0  0 0 0 0
0 0  0  0 0 0 0
0 0  0  0 0 0 0
0 0  -1 0 0 0 1

I would like to reduce it to a 3x3

1 -1 0
-1 2 -1
0 -1 1

I do know the size N.

Q1) How do I do it?
Q2) Is it better to eliminate them as it would save a lot of memory?
Q3) At the moment, I don’t know which rows (and columns) have the zero entries 
but with some effort I probably can find them. Should I know which rows (and 
columns) I am eliminating?

Thank you.

Karthik.

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