This is an ongoing collaborative research project. Nonconforming finite elements, including the locally divergence-free (LDF) elements, are used to solve Maxwell source and eigenvalue problems on 3-dim unstructured tetrahedral meshes. Preliminary results are very encouraging: no spurious eigenvaules for eigenproblems and optimal convergence rates for source problems. About 3000 lines of C++ code have been developed and tested, and more are coming.
We would like to share our C++ code for the quadratic finite volume element methods on quadrilateral meshes for elliptic and parabolic problems. All the files listed below have been compressed into QuadFVM.zip
UTMC: Uniform Tetrahedral Meshes for Cubes (3-dim Rectangles)Nothing is really mysterious in our code. But in some circumstances, we just want an instant production of tetrahedral meshes, usually uniform meshes are OK, without mentioning they can also be used for exploring superconvergence of finite element methods. C++, Fortran, Matlab codes are furnished. TetView can be used to visualize your tetrahedral meshes. For generation of unstructured tetrahedral meshes, we recommend Gmsh and Tetgen.