Hello, I am learning FEM by reading the Libmesh example adaptivity_ex2.C and have two questions. 1) In the code, it says " Print out the H1 norm, for verification purposes". Why could the H1 norm serve this purpose? I ran the example and saw a series of H1 norms in output but had no idea on how to interpret them. 2) The code uses the penalty method to impose boundary conditions. I was told the penalty method is bad and a smoothing function with zero on boundary is preferred. Could someone point me to literatures or examples on smoothing?
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