Corrigendum to: "Acceleration of a two-grid method for eigenvalue problems"
Corrigendum to: "Acceleration of a two-grid method for eigenvalue problems"
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DOI：
10.1090/mcom/2967
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发表时间：
2011-02
期刊：
影响因子：
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通讯作者：
Xiaozhe Hu;Xiaoliang Cheng
中科院分区：
文献类型：
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作者：
Xiaozhe Hu;Xiaoliang Cheng
本文提出了一种求解偏微分方程或积分方程本征值问题的新的双网格离散方法。2001年，徐和周提出了一种方案，将有限元网格上的特征值问题的解简化为同一网格上的单个线性问题的解，以及在更粗糙的网格上的类似的特征值问题的解。通过在细网格上求解一个略有不同的线性问题，本文提出的新算法显著改善了理论误差估计，使得较粗的网格可以达到相同的渐近收敛速度。文中还给出了算例，验证了该方法的有效性。
This paper provides a new two-grid discretization method for solving partial differential equation or integral equation eigenvalue problems. In 2001, Xu and Zhou introduced a scheme that reduces the solution of an eigenvalue problem on a finite element grid to that of one single linear problem on the same grid together with a similar eigenvalue problem on a much coarser grid. By solving a slightly different linear problem on the fine grid, the new algorithm in this paper significantly improves the theoretical error estimate which allows a much coarser mesh to achieve the same asymptotic convergence rate. Numerical examples are also provided to demonstrate the efficiency of the new method.