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

Authors:
Lihua Shen;Aihui Zhou
Affiliations:
-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2006

Citing 0
Cited 6

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SIAM Journal on Numerical Analysis
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Numerical Algorithms
A defect-correction method for unsteady conduction-convection problems II: Time discretization

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A framework for robust eigenvalue and eigenvector error estimation and Ritz value convergence enhancement

Applied Numerical Mathematics
The adaptive finite element method based on multi-scale discretizations for eigenvalue problems

Computers & Mathematics with Applications

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Abstract

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.