Hello Everyone,
Hope you all are doing great. I did my time-dependent NSE flow problem 
coupled scheme problem following step-22. Now I am having an issue with 
penalty projection of the same problem. While I decoupled pressure to step 
2, I am getting errors for my local matrix 1 from step 1 which has only 
velocity and viscosity. I think, I know the problem, which is as, I 
decoupled pressure from step 1 to step 2, my local matrix 1 is becoming 
rank deficit. I am using UMFPACK solver to solve my matrix. Is there any 
step or any source that can help me to solve my problem?

Thanks to everyone in this nice group.

Best Regards,
Md Mahmudul Islam

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