Simple efficient solvers for certain ill-conditioned systems of linear equations, including H(div) problems
Simple efficient solvers for certain ill-conditioned systems of linear equations, including H(div) problems
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针对某些病态线性方程组（包括 H(div) 问题）的简单高效求解器
DOI：
10.1016/j.cam.2018.05.002
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发表时间：
2018
影响因子：
2.4
通讯作者：
Reichel, Lothar
中科院分区：
文献类型：
--
作者：
Ku, JaEun;Reichel, Lothar
简单，准确，有效的迭代方法的近奇异变分问题的解决方案。所考虑的系统产生，例如，当寻求确定二阶椭圆型偏微分方程的通量时。每个（外部）迭代使用鲁棒且有效的求解器，其可以是直接或迭代方法，并且仅需要几个（外部）迭代来获得近似解。可以应用降秩外推来加速收敛。
Simple, accurate, and efficient iterative methods for the solution of a nearly singular variational problem are described. The systems considered arise, e.g., when seeking to determine the flux of second order elliptic partial differential equations. Each (outer) iteration uses a robust and efficient solver, which may be a direct or iterative method, and only a few (outer) iterations are required to obtain an approximate solution. Reduced rank extrapolation may be applied to speed up the convergence.
通量近似的混合两步有限元方法：先验估计
DOI：
10.1051/m2an/2016062
发表时间：
2017
期刊：
Mathematical Modelling and Numerical Analysis
影响因子：
--
作者：
Jaeun Ku;Young Ju Lee;D. Sheen
通讯作者：
D. Sheen
影响因子：
2.8
作者：
W. Ford;A. Sidi
通讯作者：
A. Sidi