(Free) Software for general partial differential equation problems in non-rectangular 2D and 3D regions

PDE2D is a general-purpose partial differential equation solver which solves very general systems of nonlinear, steady-state, time-dependent and eigenvalue PDEs in 1D intervals, general 2D regions (see Figure 1), and a wide range of simple 3D regions (see Figure 2), with general boundary conditions. It uses a collocation finite element method [2] for 3D problems, and either a collocation or Galerkin finite element method can be used for 1D and 2D problems. It has been sold commercially for 30 years, but recently a version has been made available, which can be downloaded at no cost from www.pde2d.com.