论文标题
预处理非局部多相流
Preconditioning nonlocal multi-phase flow
论文作者
论文摘要
我们提出了一个有效的求解器，以解决由非局部多相allen-cahn变异不等式的有限元近似值引起的鞍点问题。求解器被认为是独立的网眼，并且对相位场变量的数量仅具有非常温和的依赖性。另外，无论网格大小或界面宽度如何，我们都在三个gmres迭代中证明了两相问题的近似值。提出了数字结果，以说明这种方法的竞争力。
We propose an efficient solver for saddle point problems arising from finite element approximations of nonlocal multi-phase Allen--Cahn variational inequalities. The solver is seen to behave mesh independently and to have only a very mild dependence on the number of phase field variables. In addition we prove convergence, in three GMRES iterations, of the approximation of the two phase problem, regardless of mesh size or interfacial width. Numerical results are presented that illustrate the competitiveness of this approach.
