A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry

A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry
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DOI:
10.1137/040614013
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发表时间:
2006
期刊:
SIAM J. Sci. Comput.
影响因子:
--
通讯作者:
L. Shen;Aihui Zhou
L. Shen;Aihui Zhou
中科院分区:
其他
文献类型:
--
作者:
L. Shen;Aihui Zhou

文献摘要

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为了对自伴椭圆本征值产生高精度的近似,我们提出了一种有限元缺陷校正方案。理论和数值实验证明了该算法的有效性。还介绍了它在计算量子化学中令人满意的应用。
To produce highly accurate approximations for self-adjoint elliptic eigenvalues, we propose a finite element defect correction scheme. Its efficiency is proven by theoretical and numerical evidence. Very satisfying applications in computational quantum chemistry are also presented.