I ran the prm file cookbooks/continental_extension/continental_extension.prm with 16 and 1 cores and the mesh refinement is not the same (see Fig. 1&2).
Fig. 2: continental extension cookbook after timestep 0 running with 16 MPI processes
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-- This is ASPECT, the Advanced Solver for Problems in Earth's ConvecTion.
-- . version 2.4.0-pre (main, 48f12261d)
-- . using deal.II 9.3.3 (dealii-9.3, 7987f7338d)
-- . with 32 bit indices and vectorization level 1 (128 bits)
-- . using Trilinos 12.14.1
-- . using p4est 2.2.0
-- . running in OPTIMIZED mode
-- . running with 16 MPI processes
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