On Fri, 29 Jan 2016, Junchao Zhang wrote:

I tested the modified code with uniform refinement and 
exact_sol.extra_quadrature_order(1).  I printed out both l2 error and h1 error 
and got

time = 0.025, refinement step = 0, elements =    10240, l2_error = 0.002885, 
h1_error = 0.239394
Time = 0.025, refinement step = 1, elements =    40960, l2_error = 0.002643, 
h1_error = 0.207076
Time = 0.025, refinement step = 2, elements =   163840, l2_error = 0.002596, 
h1_error = 0.210480
Time = 0.025, refinement step = 3, elements =   655360, l2_error = 0.002575, 
h1_error = 0.214309
Time = 0.025, refinement step = 4, elements =  2621440, l2_error = 0.002569, 
h1_error = 0.215482

We can see l2_error monotonically decreases, however h1_error does not. What is 
the possible reason?

Both should be decreasing much faster than that.  You're refining the
initial mesh, before the initial conditions are projected?
---
Roy
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