This work deals with the efficient iterative solution of the system of equations stemming from mimetic finite difference discretization of a hybrid-dimensional mixed Darcy problem modeling flow in fractured porous media. We investigate the spectral properties of a mixed discrete formulation based on mimetic finite differences for flow in the bulk matrix and finite volumes for the fractures, and present an approximation of the factors in a set of approximate block factorization preconditioners that accelerates convergence of iterative solvers applied to the resulting discrete system. Numerical tests on significant three-dimensional cases have assessed the properties of the proposed preconditioners.

这项工作涉及方程组的有效迭代解，该方程组源于模拟多孔介质中混合维达西混合问题建模流的有限差分离散化。我们基于模拟的有限差分在本体矩阵中的流动和有限的裂缝体积，研究了混合离散配方的光谱特性，并给出了一组近似的块分解预处理器中的因素近似值，这些条件加速了所应用的迭代求解器的收敛到最终的离散系统。在重要的三维情况下的数值测试已经评估了所提出的预处理器的特性。