Hi all,

For adaptive mesh refinement, an error estimator has to be used to
approximately evaluate the errors in each element in order to determine
which element is going to be refined. My question is which error estimator
should be used in the mixed FEM formulations, for example, Stokes equation
with u-p formulation. I read Bathe KJ's review paper:
A posteriori error estimation techniques in practical finite element
analysis, Computer & Structures 2005 p 235-265.
in which they suggested another local error indicator.

I did try kelly and patch recovery, and they are useful to locate the
singular region and refine the mesh near the singularity. But the error
norms become larger and larger with the refinement. It seems that the
numerical solution is not convergent with mesh refinement.

Following the question above, The second question I have is that if this
non-convergence is caused by wrong error estimator in mixed fem or by
intrinsic singularity of the problem I studied? For example, solving stokes
equation with a point force in the body.

Thank you very much for your comments.

Xujun
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