论文标题
一种新型的基于混合杂种有限元元素流量模拟的非对称预处理
A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based flow simulations
论文作者
论文摘要
在这项工作中，我们提出了一个新型的块预处理，标记为显式去耦系数近似（EDFA），以加速用于解决来自多孔媒体流量模拟的线性方程非对称线性方程的非对称线性方程的序列的Krylov子空间求解器。该流量模型是将混合杂种有限元（MHFE）方法与质量保护的有限体积（FV）方案混合的混合混合元素（MHFE）方法。 EDFA预处理的特征是两个特征：对系统矩阵解耦因子的开发，以通过限制性操作员对Schur补体及其不精确的完全平行的计算进行重新铸造。我们介绍了两种自适应技术，旨在根据当前系统的属性来构建限制性操作员。拟议的块预处理已通过对合成和实际案例应用的广泛实验进行了测试，并指出了其鲁棒性和计算效率。
In this work we propose a novel block preconditioner, labelled Explicit Decoupling Factor Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to address the sequence of non-symmetric systems of linear equations originating from flow simulations in porous media. The flow model is discretized blending the Mixed Hybrid Finite Element (MHFE) method for Darcy's equation with the Finite Volume (FV) scheme for the mass conservation. The EDFA preconditioner is characterized by two features: the exploitation of the system matrix decoupling factors to recast the Schur complement and their inexact fully-parallel computation by means of restriction operators. We introduce two adaptive techniques aimed at building the restriction operators according to the properties of the system at hand. The proposed block preconditioner has been tested through an extensive experimentation on both synthetic and real-case applications, pointing out its robustness and computational efficiency.
