PyMFEM provides Python bindings for the MFEM finite element library, enabling finite element simulations (PDE solvers) from Python. The architecture consists of SWIG-generated wrapper modules for serial (`mfem.ser`) and parallel MPI (`mfem.par`) execution, built on top of the C++ MFEM library. Key entry points include the core modules (`mfem.ser`, `mfem.par`), a suite of 30+ example scripts covering Laplace, elasticity, Maxwell, Navier-Stokes, and more, and miniapps for specialized applications (DPG, multidomain, field interpolation). The system supports JIT-compiled coefficients via Numba, complex-valued solvers via CHypre, and GPU backends (CUDA, libCEED). While primarily a software library, it has a strong research character due to its advanced numerical methods (DPG, fractional PDEs, topology optimization) and extensive example set that serves as both documentation and validation.