Dear deal.ii Community,
I am working on finite deformation hyperelasticity problem which is
essentially a nonlinear-vector-valued problem with displacement as the
unknown at each support point(dim=2,3). *With regards to parallelism, we
currently restrict ourselves to shared memory parallel (SMP) only.* The FE
assembly process has been paralleized using the workstream function.
This question pertains to (possibly faster) linear solvers. Currently. For
the current 2D problem, we use the SparseDirectUMFPACK solver. As can been
seen in the time log below (ths example was computed on a 36 core machine
with 64 threads), the linear solver consumes the most time. I also tried
using the CG solver, but it was much much slower, probably due to the large
condition number stemming out of highly refined mesh in regions of
interest.
Triangulation:
Number of active cells: 2059646
Number of Degrees of Freedom: 4119454
+---------------------------------------------+------------+------------+
| Total wallclock time elapsed since start | 7.81e+03s | |
| | | |
| Section | no. calls | wall time | % of total |
+---------------------------------+-----------+------------+------------+
| Assemble Linear System | 50 | 875s | 11% |
| Linear Solver | 40 | 5.55e+03s | 71% |
| Make Constraints | 50 | 255s | 3.3% |
| PBC setup | 1 | 1.02s | 0% |
| Set Boundary IDs | 1 | 0.109s | 0% |
| Stress Output Computation | 11 | 464s | 5.9% |
| Stress Output Overall | 12 | 1e+03s | 13% |
| Stress Output Writing | 11 | 379s | 4.9% |
| Stress output initialize | 1 | 158s | 2% |
| System Setup | 1 | 260s | 3.3% |
+---------------------------------+-----------+------------+------------+
While going through the documentation, I came across options for DMP linear
solvers but couldn't find any with SMP.
Could somenone please guide me to any such possibilities within the library
or through interface to some external library.
Best regards,
Paras
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