A two-grid discretization scheme for eigenvalue problems
A two-grid discretization scheme for eigenvalue problems
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DOI：
10.1090/s0025-5718-99-01180-1
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
Jinchao Xu;Aihui Zhou
中科院分区：
文献类型：
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作者：
Jinchao Xu;Aihui Zhou
提出了一种求解特征值问题的两重网格离散格式，包括偏微分方程和积分方程。通过这种新方案，细网格上特征值问题的解被简化为粗得多的网格上特征值问题的解，并且细网格上线性代数系统的解及其所得解仍然保持渐进最优精度。
A two-grid discretization scheme is proposed for solving eigenvalue problems, including both partial differential equations and integral equations. With this new scheme, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a much coarser grid, and the solution of a linear algebraic system on the fine grid and the resulting solution still maintains an asymptotically optimal accuracy.