-
1
-
-
0003796630
-
-
Academic Press, New York
-
R. A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.
-
(1975)
Sobolev Spaces
-
-
Adams, R.A.1
-
3
-
-
84966243578
-
Finite element-Galerkin approximation for the eigenvalues and eigenvectors of selfadjoint problems
-
I. BABUSKA AND J. E. OSBORN, Finite element-Galerkin approximation for the eigenvalues and eigenvectors of selfadjoint problems, Math. Comput., 52 (1989), pp. 275-297.
-
(1989)
Math. Comput.
, vol.52
, pp. 275-297
-
-
Babuska, I.1
Osborn, J.E.2
-
4
-
-
54249116319
-
Eigenvalue problems
-
P. G. Ciarlet and J. L. Lions, eds., Elsevier, New York
-
I. BABUSKA AND J. E. OSBORN, Eigenvalue problems, in Handbook of Numerical Analysis, Vol.II, Finite Element Methods Part I, P. G. Ciarlet and J. L. Lions, eds., Elsevier, New York, 1991, pp. 641-792.
-
(1991)
Handbook of Numerical Analysis, Vol.II, Finite Element Methods Part i
, pp. 641-792
-
-
Babuska, I.1
Osborn, J.E.2
-
5
-
-
11044234164
-
Asymptotically exact a posteriori error estimators, Part I: Grids with superconvergence
-
R. E. BANK AND J. XU, Asymptotically exact a posteriori error estimators, Part I: Grids with superconvergence, SIAM J. Numer. Anal., 41 (2003), pp. 2294-2312.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 2294-2312
-
-
Bank, R.E.1
Xu, J.2
-
6
-
-
11044235029
-
Asymptotically exact a posteriori error estimators, Part II: General unstructured grids
-
R. E. BANK AND J. XU, Asymptotically exact a posteriori error estimators, Part II: General unstructured grids, SIAM J. Numer. Anal., 41 (2003), pp. 2313-2332.
-
(2003)
SIAM J. Numer. Anal.
, vol.41
, pp. 2313-2332
-
-
Bank, R.E.1
Xu, J.2
-
7
-
-
0028377262
-
Superconvergent path recovery with equilibrium and conjoint interpolant enhancements
-
T. BLACKER AND T. BELYCHKO, Superconvergent path recovery with equilibrium and conjoint interpolant enhancements, Int. J. Numer. Methods Engrg., 37 (1994), pp. 517-536.
-
(1994)
Int. J. Numer. Methods Engrg.
, vol.37
, pp. 517-536
-
-
Blacker, T.1
Belychko, T.2
-
8
-
-
84966232931
-
Rate of convergence estimates for nonselfadjoint eigenvalue approximations
-
J. H. BRAMBLE AND J. E. OSBORN, Rate of convergence estimates for nonselfadjoint eigenvalue approximations, Math. Comput., 27 (1973), pp. 525-549.
-
(1973)
Math. Comput.
, vol.27
, pp. 525-549
-
-
Bramble, J.H.1
Osborn, J.E.2
-
9
-
-
0345447627
-
Gradient superconvergence on uniform simplicial partitions of polytopes
-
J. BRANDTS AND M. KŘÍŽEK, Gradient superconvergence on uniform simplicial partitions of polytopes, IMA J. Numer. Anal., 33 (2003), pp. 1-17.
-
(2003)
IMA J. Numer. Anal.
, vol.33
, pp. 1-17
-
-
Brandts, J.1
Křížek, M.2
-
10
-
-
0001174019
-
Finite-element calculations for the S states of helium
-
M. BRAUN, W. SCHWEIZER, AND H. HEROLD, Finite-element calculations for the S states of helium, Phys. Rev. A, 48 (1993), pp. 1916-1920.
-
(1993)
Phys. Rev. A
, vol.48
, pp. 1916-1920
-
-
Braun, M.1
Schweizer, W.2
Herold, H.3
-
12
-
-
0036340806
-
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids, Part I: Low order conforming, nonconforming, and mixed FEM
-
C. CARSTENSEN AND S. BARTELS, Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids, Part I: Low order conforming, nonconforming, and mixed FEM, Math. Comput., 71 (2002), pp. 945-969.
-
(2002)
Math. Comput.
, vol.71
, pp. 945-969
-
-
Carstensen, C.1
Bartels, S.2
-
14
-
-
0345275297
-
Optimal points of stresses for tetrahedron linear element
-
(in Chinese)
-
C. M. CHEN, Optimal points of stresses for tetrahedron linear element, Natur. Sci. J. Xiangtan Univ., 3 (1980), pp. 16-24 (in Chinese).
-
(1980)
Natur. Sci. J. Xiangtan Univ.
, vol.3
, pp. 16-24
-
-
Chen, C.M.1
-
15
-
-
0003560721
-
-
North-Holland, Amsterdam, New York, Oxford
-
P. G. CIARLET, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, New York, Oxford, 1978.
-
(1978)
The Finite Element Method for Elliptic Problems
-
-
Ciarlet, P.G.1
-
16
-
-
0016541865
-
Approximation by finite element functions using local regularization
-
P. CLÉMENT, Approximation by finite element functions using local regularization, RAIRO Anal. Numér., 9 (1975), pp. 77-84.
-
(1975)
RAIRO Anal. Numér.
, vol.9
, pp. 77-84
-
-
Clément, P.1
-
17
-
-
0028498245
-
Pointwise superconvergence of the gradient for the linear tetrahedral element, Numer
-
G. GOODSELL, Pointwise superconvergence of the gradient for the linear tetrahedral element, Numer. Methods Partial Differential Equations, 10 (1994), pp. 651-666.
-
(1994)
Methods Partial Differential Equations
, vol.10
, pp. 651-666
-
-
Goodsell, G.1
-
20
-
-
0039254111
-
Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes I: A smooth problem and globally quasi-uniform meshes
-
W. HOFFMANN, A. H. SCHATZ, L. B. WAHLBIN, AND G. WITTUM, Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes I: A smooth problem and globally quasi-uniform meshes, Math. Comp., 70 (2001), pp. 897-909.
-
(2001)
Math. Comp.
, vol.70
, pp. 897-909
-
-
Hoffmann, W.1
Schatz, A.H.2
Wahlbin, L.B.3
Wittum, G.4
-
21
-
-
0344412275
-
Superconvergence of the gradient of linear finite elements for 3-D Poisson equation
-
B. Sendov, ed., Publishing House BAS, Sofia, Bulgaria
-
V. K. KANTCHEV AND R. D. LAZAROV, Superconvergence of the gradient of linear finite elements for 3-D Poisson equation, in Proceedings of the Conference on Optimal Algorithms, B. Sendov, ed., Publishing House BAS, Sofia, Bulgaria, 1986, pp. 172-182.
-
(1986)
Proceedings of the Conference on Optimal Algorithms
, pp. 172-182
-
-
Kantchev, V.K.1
Lazarov, R.D.2
-
22
-
-
0002122189
-
Superconvergence phenomenon in the finite element method arising from averaging gradients
-
M. KŘÍŽEK AND P. NEITTAANMÄKI, Superconvergence phenomenon in the finite element method arising from averaging gradients, Numer. Math., 45 (1984), pp. 105-116.
-
(1984)
Numer. Math.
, vol.45
, pp. 105-116
-
-
Křížek, M.1
Neittaanmäki, P.2
-
23
-
-
0003329886
-
Finite element methods: Superconvergence, post-processing, and a posteriori estimates
-
Marcel Dekker, New York
-
M. KŘÍŽEK, P. NEITTAANMÄKI, AND R. STENBERG, Finite Element Methods: Superconvergence, Post-processing, and A Posteriori Estimates, Lectures Notes in Pure and Appl. Math. 196, Marcel Dekker, New York, 1998.
-
(1998)
Lectures Notes in Pure and Appl. Math.
, vol.196
-
-
Křížek, M.1
Neittaanmäki, P.2
Stenberg, R.3
-
24
-
-
0041971704
-
Superconvergent recovery of the gradient from piecewise linear finite element approximations
-
N. LEVINE, Superconvergent recovery of the gradient from piecewise linear finite element approximations, IMA J. Numer. Anal., 5 (1985), pp. 407-427.
-
(1985)
IMA J. Numer. Anal.
, vol.5
, pp. 407-427
-
-
Levine, N.1
-
25
-
-
0000085395
-
Analysis of a class of superconvergence patch recovery techniques for linear and bilinear finite elements
-
B. LI AND Z. ZHANG, Analysis of a class of superconvergence patch recovery techniques for linear and bilinear finite elements, Numer. Methods Partial Differential Equations, 15 (1999), pp. 151-167.
-
(1999)
Numer. Methods Partial Differential Equations
, vol.15
, pp. 151-167
-
-
Li, B.1
Zhang, Z.2
-
26
-
-
33745677277
-
Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates
-
in press
-
D. MAO, L. SHEN, AND A. ZHOU, Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates, Adv. Comput. Math., in press.
-
Adv. Comput. Math.
-
-
Mao, D.1
Shen, L.2
Zhou, A.3
-
29
-
-
0029292062
-
A 3-dimensional finite elements procedure for quantum mechanical applications
-
A. SCRINZI, A 3-dimensional finite elements procedure for quantum mechanical applications, Comput. Phys. Comm., 86 (1995), pp. 67-80.
-
(1995)
Comput. Phys. Comm.
, vol.86
, pp. 67-80
-
-
Scrinzi, A.1
-
30
-
-
0037661644
-
Application of a self-consistent schemes including exchange and correlation effects to atoms
-
B. Y. TONG AND L. J. SHAM, Application of a self-consistent schemes including exchange and correlation effects to atoms, Phys. Rev., 144 (1966), pp. 1-4.
-
(1966)
Phys. Rev.
, vol.144
, pp. 1-4
-
-
Tong, B.Y.1
Sham, L.J.2
-
32
-
-
0003271497
-
Superconvergence in galerkin finite element methods
-
Springer, Berlin
-
L. B. WAHLBIN, Superconvergence in Galerkin Finite Element Methods, Lecture Notes in Math. 1605, Springer, Berlin, 1995.
-
(1995)
Lecture Notes in Math.
, vol.1605
-
-
Wahlbin, L.B.1
-
33
-
-
0008993261
-
A superconvergence analysis for finite element solutions by the least-squares surface fitting on irregular meshes for smooth problems
-
J. WANG, A superconvergence analysis for finite element solutions by the least-squares surface fitting on irregular meshes for smooth problems, J. Math. Study, 33 (2000), pp. 229-243.
-
(2000)
J. Math. Study
, vol.33
, pp. 229-243
-
-
Wang, J.1
-
34
-
-
84985406663
-
Superconvergence recovery of gradients on subdomains from piecewise linear finite element approximations
-
M. F. WHEELER AND J. R. WHITEMAN, Superconvergence recovery of gradients on subdomains from piecewise linear finite element approximations, Numer. Methods Partial Differential Equations, 3 (1987), pp. 65-82.
-
(1987)
Numer. Methods Partial Differential Equations
, vol.3
, pp. 65-82
-
-
Wheeler, M.F.1
Whiteman, J.R.2
-
35
-
-
0000674491
-
Finite-element method for electronic structure
-
S. R. WHITE, J. W. WILKINS, AND M. P. TETER, Finite-element method for electronic structure, Phys. Rev. B, 39 (1989), pp. 5819-5833.
-
(1989)
Phys. Rev. B
, vol.39
, pp. 5819-5833
-
-
White, S.R.1
Wilkins, J.W.2
Teter, M.P.3
-
36
-
-
2942668558
-
Analysis of recovery type a posteriori error estimators for mildly structured grids
-
J. XU AND Z. ZHANG, Analysis of recovery type a posteriori error estimators for mildly structured grids, Math. Comput., 73 (2004), pp. 1139-1152.
-
(2004)
Math. Comput.
, vol.73
, pp. 1139-1152
-
-
Xu, J.1
Zhang, Z.2
-
37
-
-
0035586888
-
A two-grid discretization scheme for eigenvalue problems
-
J. XU AND A. ZHOU, A two-grid discretization scheme for eigenvalue problems, Math. Comput., 70 (2001), pp. 17-25.
-
(2001)
Math. Comput.
, vol.70
, pp. 17-25
-
-
Xu, J.1
Zhou, A.2
-
38
-
-
0035843802
-
Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes
-
N. YAN AND A. ZHOU, Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes, Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 4289-4299.
-
(2001)
Comput. Methods Appl. Mech. Engrg.
, vol.190
, pp. 4289-4299
-
-
Yan, N.1
Zhou, A.2
-
39
-
-
0034423321
-
Ultraconvergence of the patch recovery technique II
-
Z. ZHANG, Ultraconvergence of the patch recovery technique II, Math. Comp., 69 (2000), pp. 141-158.
-
(2000)
Math. Comp.
, vol.69
, pp. 141-158
-
-
Zhang, Z.1
-
40
-
-
23844471344
-
A new finite element gradient recovery method: Superconvergence property
-
Z. ZHANG AND A. NAGA, A new finite element gradient recovery method: Superconvergence property, SIAM J. Sci. Comput., 26 (2005), pp. 1192-1213.
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 1192-1213
-
-
Zhang, Z.1
Naga, A.2
-
41
-
-
0001900698
-
Mathematical analysis of Zienkiewicz-Zhu's derivative patch recovery technique for quadrilateral finite elements
-
Z. ZHANG AND H. D. VICTORY, JR., Mathematical analysis of Zienkiewicz-Zhu's derivative patch recovery technique for quadrilateral finite elements, Numer. Methods Partial Differential Equations, 12 (1996), pp. 507-524.
-
(1996)
Numer. Methods Partial Differential Equations
, vol.12
, pp. 507-524
-
-
Zhang, Z.1
Victory Jr., H.D.2
-
42
-
-
0043253499
-
-
Ph.D. Thesis, Institute of Systems Science, Chinese Academy of Sciences, Beijing, R.O.C.
-
A. ZHOU, Numerical Analysis of Finite Element Methods for Hyperbolic Systems, Ph.D. Thesis, Institute of Systems Science, Chinese Academy of Sciences, Beijing, R.O.C., 1990.
-
(1990)
Numerical Analysis of Finite Element Methods for Hyperbolic Systems
-
-
Zhou, A.1
-
43
-
-
0043253498
-
Optimal and superconvergence estimates of the finite element method for a scale hyperbolic equation
-
A. ZHOU AND Q. LIN,Optimal and superconvergence estimates of the finite element method for a scale hyperbolic equation, Acta. Math. Sci., 14 (1994), pp. 90-94.
-
(1994)
Acta. Math. Sci.
, vol.14
, pp. 90-94
-
-
Zhou, A.1
Lin, Q.2
-
44
-
-
0003453211
-
-
Hunan Science Press, Changsha, R.O.C., (in Chinese)
-
Q. ZHU AND Q. LIN, Superconvergence Theory of Finite Element Methods, Hunan Science Press, Changsha, R.O.C., 1989 (in Chinese).
-
(1989)
Superconvergence Theory of Finite Element Methods
-
-
Zhu, Q.1
Lin, Q.2
-
45
-
-
0026866050
-
The superconvergence patch recovery and a posteriori error estimates
-
O. C. ZIENKIEWICZ AND J. Z. ZHU, The superconvergence patch recovery and a posteriori error estimates, Int. J. Numer. Methods Engrg., 33 (1992), pp. 1331-1382.
-
(1992)
Int. J. Numer. Methods Engrg.
, vol.33
, pp. 1331-1382
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
-
46
-
-
0026981573
-
The superconvergence patch recovery (SPR) and adaptive finite element refinement
-
O. C. ZIENKIEWICZ AND J. Z. ZHU, The superconvergence patch recovery (SPR) and adaptive finite element refinement, Comput. Methods Appl. Mech. Engrg., 101 (1992), pp. 207-224.
-
(1992)
Comput. Methods Appl. Mech. Engrg.
, vol.101
, pp. 207-224
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
|