A Multiscale Hybrid-Hybrid Method for Solving Darcy's Equation with Heterogeneous Coefficients

The authors propose a new multiscale finite element method, called the Multiscale Hybrid-Hybrid Method (MH2M), for solving the Darcy equation with heterogeneous coefficients. The method yields a symmetric positive definite global formulation that depends only on the trace of the solution, unlike the original Multiscale Hybrid-Mixed (MHM) method which has a saddle point structure.