We present a Galerkin finite element code for time dependent transport modeling of a pure 2-fluid magnetized plasma in an axisymmetric domain. The code is intended to be used as a basis for finite element modeling of the tokamak scrape-off layer. The collisional dynamics along magnetic field lines is taken into account, a simple diffusive Ansatz is used for the transport across magnetic surfaces, and diamagnetic flows are neglected. In principle any magnetic field and first wall geometry is allowed, this flexibility being the main rationale for the use of finite elements. Results for an extensive set of test cases in simple geometry are discussed. (orig.).