论文标题
有效的混合尺度标量椭圆问题的预处理
Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems
论文作者
论文摘要
断裂的多孔介质流量的离散化通常会导致需要专用求解器的线性方程式大型系统。在这项工作中，我们开发了一个有效的线性求解器及其用于混合量表椭圆问题的实际实现。我们基于近似块分解和代数多机技术设计了有效的预处理。具有复杂断裂结构的基准的数值结果证明了所提出的线性求解器的有效性及其相对于不同的物理和离散参数的鲁棒性。
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.
