论文标题
质量保存混合应力法的符合辅助空间预处理
A conforming auxiliary space preconditioner for the mass conserving mixed stress method
论文作者
论文摘要
我们正在研究由质量保存混合应力（MCS）方法离散化的线性方程系统的有效解决方案。为此，我们执行静态冷凝，以达到压力和速度未知的系统。用于正定义速度块的辅助空间预处理可以利用有效且可扩展的求解器来符合低阶的有限元元素空间，并在离散化的多项式程度上进行了重点。数值实验证明了这种方法的潜力和实施的效率。
We are studying the efficient solution of the system of linear equation stemming from the mass conserving mixed stress (MCS) method discretization of the Stokes equations. To that end we perform static condensation to arrive at a system for the pressure and velocity unknowns. An auxiliary space preconditioner for the positive definite velocity block makes use of efficient and scalable solvers for conforming Finite Element spaces of low order and is analyzed with emphasis placed on the polynomial degree of the discretization. Numerical experiments demonstrate the potential of this approach and the efficiency of the implementation.
