On 8/26/22 06:42, [email protected] wrote:
I solve Laplacian problem with "-0.5*std::exp(-2.0*0.963740544195800*p(0))" as exact solution, I apply Neumaan bc on all 4 boundaries.

As someone noted earlier in this thread, the Laplace problem with *only* Neumann boundary conditions does not have a unique solution: If u(x,y) is a solution, then u(x,y)+c is also a solution for any constant c. You shouldn't expect the solver to provide you with a solution.

Best
 W.

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

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