On 8/26/22 20:54, ztdepyahoo wrote:
I am looking for the theory guide of the "mean value constraints " method in 
fem.

I think you need to try to be more detailed in your questions :-)

Regardless, I don't have much to offer. I think what the program does is how every finite element professional would implement this, though I cannot point to anything anyone has ever written about it.

If you are asking about the theory of imposing a mean value constraint, I don't have anything to offer there either. The closest thing I can think of is the "electrode model" in electrical impedance tomography (EIT) modeling, and how it imposes a specific kind of constraint on parts of the boundary. There is a substantial literature that considers the correct formulation, weak formulation, and uniqueness/existence. You might be able to glean something from there about the case here.

Best
 W.


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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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