| 1 |
J. XU AND A. ZHOU, A two-grid discretization scheme for eigenvalue problems, Math. Comp. 70 (2001), 17-25.
DOI
|
| 2 |
P. AMORE, J. P. BOYD, F. M. FERNANDEZ, AND B. ROSLER, High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences, J. Comput. Phys. 312 (2016), 252-271.
DOI
|
| 3 |
I. BABUSKA AND J. E. OSBORN, Finite element-Galerkin approximation of the eigenvalues and eigenvectors of selfadjoint problems, Math. Comp. 52 (1989), 275-297.
DOI
|
| 4 |
I. BABUSKA AND J. E. OSBORN, Eigenvalue Problems, in Handbook of Numerical Analysis II, Finite Element Methods (Part 1), edited by P.G. Lions and P.G. Ciarlet, North-Holland, Amsterdam, 1991, 641-787.
|
| 5 |
R. E. BANK AND A. WEISER, Some a posteriori error estimators for elliptic partial differential equations, Math. Comp. 44 (1985), 283-301.
DOI
|
| 6 |
R. E. BANK AND J. XU, Asymptotically exact a posteriori error estimators, Part I: Grids with superconvergence, SIAM J. Numer. Anal. 41 (2003), 2294-2312.
DOI
|
| 7 |
D. BOFFI, Finite element approximation of eigenvalue problems, Acta Numer. 19 (2010), 1-120.
DOI
|
| 8 |
H. GUO, Z. ZHANG, AND R. ZHAO, Superconvergent two-grid methods for elliptic eigenvalue problems, J. Sci. Comput. 70 (2017), 125-148.
DOI
|
| 9 |
R. G. DURAN, C. PADRA, AND R. RODRIGUEZ, A posteriori error estimates for the finite element approximation of eigenvalue problems, Math. Models Methods Appl. Sci. 13 (2003), 1219-1229.
DOI
|
| 10 |
R. G. DURAN AND R. RODRIGUEZ, On the asymptotic exactness of Bank-Weiser's estimator, Numer. Math. 62 (1992), 297-303.
DOI
|
| 11 |
J. HU, Y. HUANG, AND Q. SHEN, A high accuracy post-processing algorithm for the eigenvalues of elliptic operators, Numer. Math. 52 (2012), 426-445.
|
| 12 |
Y. HUANG AND J. XU, Superconvergence of quadratic finite elements on mildly structured grids, Math. Comp. 77 (2008), 1253-1268.
DOI
|
| 13 |
Q. LIN, H. XIE, AND J. XU, Lower bounds of the discretization error for piecewise polynomials, Math. Comp. 83 (2014), 1-13.
DOI
|
| 14 |
O. KARAKASHIAN AND F. PASCAL, A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems, SIAM J. Numer. Anal. 41 (2003), 2374-2399.
DOI
|
| 15 |
K.-Y. KIM AND J.-S. PARK, Asymptotic exactness of some Bank-Weiser error estimator for quadratic triangular finite element, Bull. Korean Math. Soc. 57 (2020), 393-406.
DOI
|
| 16 |
M. G. LARSON, A posteriori and a priori error analysis for finite element approximations of self-adjoint elliptic eigenvalue problems, SIAM J. Numer. Anal. 38 (2000), 608-625.
DOI
|
| 17 |
A. MAXIM, Asymptotic exactness of an a posteriori error estimator based on the equilibrated residual method, Numer. Math. 106 (2007), 225-253.
DOI
|
| 18 |
A. NAGA AND Z. ZHANG, Function value recovery and its application in eigenvalue problems, SIAM J. Numer. Anal. 50 (2012), 272-286.
DOI
|
| 19 |
M. R. RACHEVA AND A. B. ANDREEV, Superconvergence postprocessing for eigenvalues, Comp. Methods Appl. Math. 2 (2002), 171-185.
DOI
|
| 20 |
A. NAGA, Z. ZHANG, AND A. ZHOU, Enhancing eigenvalue approximation by gradient recovery, SIAM J. Sci. Comput. 28 (2006), 1289-1300.
DOI
|
| 21 |
H. WU AND Z. ZHANG, Enhancing eigenvalue approximation by gradient recovery on adaptive meshes, IMA J. Numer. Anal. 29 (2009), 1008-1022.
DOI
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| 22 |
J. XU AND Z. ZHANG, Analysis of recovery type a posteriori error estimators for mildly structured grids, Math. Comp. 73 (2004), 1139-1152.
DOI
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