dsl: Add PETSc functionality #531

Job	Run time
pytest-docker-py310-icx-omp-base	35m 39s
pytest-docker-py310-gcc-omp-arm64-adjoint	26m 31s
pytest-docker-py310-gcc-omp-arm64-base	25m 24s
pytest-docker-py310-gcc-omp-base	29m 49s
pytest-docker-py310-gcc-omp-adjoint	29m 36s
pytest-docker-py310-icx-omp-adjoint	26m 36s
pytest-ubuntu-py310-gcc14-omp-adjoint	36m 27s
pytest-ubuntu-py310-gcc9-omp-adjoint	35m 23s
pytest-ubuntu-py312-gcc12-cxxomp-base	54m 31s
pytest-ubuntu-py311-gcc10-noomp-base	36m 9s
pytest-ubuntu-py311-gcc11-cxxnoomp-adjoint	34m 18s
pytest-ubuntu-py312-gcc13-omp-base	43m 6s
pytest-osx-py312-clang-omp-base	26m 35s
pytest-ubuntu-py312-gcc12-cxxomp-adjoint	44m 22s
pytest-ubuntu-py310-gcc9-omp-base	37m 30s
pytest-ubuntu-py313-gcc14-omp-adjoint	37m 4s
pytest-ubuntu-py311-gcc10-noomp-adjoint	31m 22s
pytest-ubuntu-py310-gcc14-omp-base	37m 3s
pytest-ubuntu-py313-gcc14-omp-base	40m 47s
pytest-ubuntu-py312-gcc13-omp-adjoint	30m 35s
pytest-ubuntu-py311-gcc11-cxxnoomp-base	44m 26s
	12h 23m 13s

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