Discretization of flow in fractured porous media commonly lead to large systems of linear equations that require dedicated solvers. In this work, we develop an efficient linear solver and its practical implementation for mixed-dimensional scalar elliptic problems. We design an effective preconditioner based on approximate block factorization and algebraic multigrid techniques. Numerical results on benchmarks with complex fracture structures demonstrate the effectiveness of the proposed linear solver and its robustness with respect to different physical and discretization parameters.

翻译：在这项工作中,我们开发了高效的线性求解器,并实际解决多维天际椭圆形问题。我们设计了一种有效的先决条件,其基础是大致的区块因数化和代数多格技术。关于具有复杂断裂结构的基准的数值结果显示了拟议的线性求解器的有效性及其在不同物理和离散参数方面的坚固性。