{
  "id": "single-software-execution--cli--fenics--task-06--ubuntu",
  "snapshot": "FEniCS",
  "instruction": "Treat a legacy FEniCS/DOLFIN nonlinear Poisson-equation template `/home/user/Desktop/nonlinear_base.py` as the starting point. Run with the legacy `dolfin` API used by the template (for example, FEniCS/DOLFIN 2019.1.0), not DOLFINx. On this machine, run legacy FEniCS with `/home/user/miniconda3/bin/conda run --no-capture-output --prefix /home/user/miniconda3/envs/fenics-legacy python` when working on `nonlinear_base.py`.\n\nComplete the following: 1. Modify and generate `/home/user/Desktop/nonlinear.py`: - Define nonlinear residual: `F = (1 + u**2)*inner(grad(u), grad(v))*dx - f*v*dx`, with `f=Constant(1.0)` - Define its Jacobian with `J = derivative(F, u, du)`, where `du = TrialFunction(V)`, and use `NonlinearVariationalProblem(F, u, bc, J)` - Set: `solver.parameters['newton_solver']['relative_tolerance'] = 1e-6` - Solve 2. Extract the value at center `(0.5, 0.5)` and the global maximum; for this symmetric mesh the center is the maximum up to numerical tolerance - Save to `/home/user/Desktop/summary.txt` in this format: `center_value, max_value`",
  "source": "https://olddocs.fenicsproject.org/dolfin/2019.1.0/python/",
  "config": [
    {
      "type": "upload_file",
      "parameters": {
        "files": [
          {
            "local_path": "task-06/init_file/nonlinear_base.py",
            "path": "/home/user/Desktop/nonlinear_base.py"
          }
        ]
      }
    }
  ],
  "trajectory": "trajectories/",
  "related_apps": [
    "fenics"
  ],
  "artifact_paths": [
    "/home/user/Desktop/nonlinear.py",
    "/home/user/Desktop/summary.txt"
  ],
  "evaluator": {
    "postconfig": [
      {
        "type": "upload_file",
        "parameters": {
          "files": [
            {
              "local_path": "task-06/eval.py",
              "path": "/home/user/Desktop/eval.py"
            }
          ]
        }
      }
    ],
    "func": "exact_match",
    "result": {
      "type": "vm_command_line",
      "command": "/home/user/miniconda3/bin/conda run --no-capture-output --prefix /home/user/miniconda3/envs/fenics-legacy /home/user/miniconda3/envs/fenics-legacy/bin/python /home/user/Desktop/eval.py",
      "shell": "true"
    },
    "expected": {
      "type": "rule",
      "rules": {
        "expected": "True\n"
      }
    }
  },
  "proxy": false,
  "fixed_ip": false,
  "possibility_of_env_change": "low"
}