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I haven't looked at the code in great detail, but are element tensors being added to the global tensor is a thread-safe fashion? Both PETSc and Trilinos are not thread-safe.
Rather than having two assembly classes, would it be worth using OpenMP instead? I experimented with OpenMP some time ago, but never added it since at the time it required a very recent version of gcc. This shouldn't be a problem now.
Garth
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