On 2/14/23 19:04, 'yy.wayne' via deal.II User Group wrote:

Yes the diagonal could be negative when k rises. Will Chebyshev preconditioner smoother converge
when there are negative entries?

I have no idea :-)


In my case k hasn't rise so large that diagonal entries is negative. The negative entries shows up only when compute_normal_flux constraints is applied. I think AffineConstraints::distribute_local_to_global <https://nam10.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.dealii.org%2Fcurrent%2Fdoxygen%2Fdeal.II%2FclassAffineConstraints.html%23a373fbdacd8c486e675b8d2bff8943192%3A~%3Atext%3DThus%2C%2520if%2520a%2520degree%2Cin%2520the%2520global%2520matrix.&data=05%7C01%7CWolfgang.Bangerth%40colostate.edu%7Cd2ecd8f014fc4c51b63308db0ef8fd28%7Cafb58802ff7a4bb1ab21367ff2ecfc8b%7C0%7C0%7C638120234786119642%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000%7C%7C%7C&sdata=c2TyCwiADwVWxKmtOEDrujHEkVC%2F8QPR5k7gIip3OoQ%3D&reserved=0> is the cause since in matrix-based assemble, this function add a positive value on the constrained dofs while matrix-free does not. Therefore the diagonals are different between matrix-free and matrix-based.

That's possible. I don't know enough about the matrix-free framework to tell one way or the other, but maybe some of my colleagues here will know.

Best
 W.


--
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Wolfgang Bangerth          email:                 bange...@colostate.edu
                           www: http://www.math.colostate.edu/~bangerth/


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