I added an exact solution object in adaptivity_ex2 with
ExactSolution exact_sol(equation_systems);
exact_sol.attach_exact_value(exact_solution);
Then I computed errors with exact_sol.compute_error("Convection-Diffusion",
"u") and printed out L2 error in each refinement step. The output for the
first time step is:
Time = 0.025, refinement step = 0, elements = 10, l2_error = 0.443873
Time = 0.025, refinement step = 1, elements = 40, l2_error = 0.045196
Time = 0.025, refinement step = 2, elements = 160, l2_error = 0.131169
Time = 0.025, refinement step = 3, elements = 640, l2_error = 0.116789
Time = 0.025, refinement step = 4, elements = 2560, l2_error = 0.118175
I am curious why sometimes L2 error gets bigger, e.g., from r_step 1 to
r_step 2. Don't more refinements give smaller errors?
BTW, I used uniformly_refine() in each refinement step. The input mesh has
8 triangles and 2 quadrilaterals.
--Junchao Zhang
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