-
1
-
-
38249006746
-
A posteriori error estimators for second order elliptic systems. Part 1. Theoretical foundations and aposteriori error analysis
-
M. Ainsworth and J.T. Oden, A posteriori error estimators for second order elliptic systems. Part 1. Theoretical foundations and aposteriori error analysis, Comput. Math. Appl. 25(2) (1993) 101-113.
-
(1993)
Comput. Math. Appl.
, vol.25
, Issue.2
, pp. 101-113
-
-
Ainsworth, M.1
Oden, J.T.2
-
2
-
-
38248999181
-
A posteriori error estimators for second order elliptic systems. Part 2. An optimal order process for calculating self-equilibrating fluxes
-
M. Ainsworth and J.T. Oden, A posteriori error estimators for second order elliptic systems. Part 2. An optimal order process for calculating self-equilibrating fluxes, Comput. Math. Appl. 26(9) (1993) 75-87.
-
(1993)
Comput. Math. Appl.
, vol.26
, Issue.9
, pp. 75-87
-
-
Ainsworth, M.1
Oden, J.T.2
-
3
-
-
0042255750
-
A unified approach to a posteriori error estimation using element residual methods
-
M. Ainsworth and J.T. Oden, A unified approach to a posteriori error estimation using element residual methods, Numer. Math. 65 (1993) 23-50.
-
(1993)
Numer. Math.
, vol.65
, pp. 23-50
-
-
Ainsworth, M.1
Oden, J.T.2
-
5
-
-
0033469491
-
Remarks around 50 lines of Matlab: Short finite element implementation
-
J. Alberty, C. Carstensen and S.A. Funken, Remarks around 50 lines of Matlab: short finite element implementation, Numer. Algorithms 20 (1999) 117-137.
-
(1999)
Numer. Algorithms
, vol.20
, pp. 117-137
-
-
Alberty, J.1
Carstensen, C.2
Funken, S.A.3
-
6
-
-
0023306715
-
A feedback finite element method with a posteriori error estimations. Part I. the finite element method and some basic properties of the a posteriori error estimator
-
I. Babuška and A. Miller, A feedback finite element method with a posteriori error estimations. Part I. The finite element method and some basic properties of the a posteriori error estimator, Comput. Methods Appl. Mech. Engrg. 61 (1987) 1-40.
-
(1987)
Comput. Methods Appl. Mech. Engrg.
, vol.61
, pp. 1-40
-
-
Babuška, I.1
Miller, A.2
-
7
-
-
0000613724
-
Error estimates for adaptive finite element computations
-
I. Babuška and W.C. Rheinboldt, Error estimates for adaptive finite element computations, SIAM J. Numer. Anal. 15 (1978) 736-754.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 736-754
-
-
Babuška, I.1
Rheinboldt, W.C.2
-
9
-
-
84966215690
-
Some a posteriori error estimators for elliptic partial differential equations
-
R.E. Bank and A. Weiser, Some a posteriori error estimators for elliptic partial differential equations, Math. Comp. 44(170) (1985) 283-301.
-
(1985)
Math. Comp.
, vol.44
, Issue.170
, pp. 283-301
-
-
Bank, R.E.1
Weiser, A.2
-
10
-
-
0042115249
-
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II. Higher order FEM
-
(in press). Preprint
-
S. Bartels and C. Carstensen, Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II. Higher order FEM, Math. Comp. (2001) (in press). Preprint http://www.numerik.uni-kiel.de/reports/2000/00-5.html
-
(2001)
Math. Comp.
-
-
Bartels, S.1
Carstensen, C.2
-
13
-
-
0030383153
-
A feed-back approach to error control in finite element methods: Basic analysis and examples
-
R. Becker and R. Rannacher, A feed-back approach to error control in finite element methods: basic analysis and examples, East-West Journal of Numerical Mathematics 4(4) (1996) 237-264.
-
(1996)
East-West Journal of Numerical Mathematics
, vol.4
, Issue.4
, pp. 237-264
-
-
Becker, R.1
Rannacher, R.2
-
14
-
-
0001701058
-
A posteriori error estimates for elliptic problems in two and three space dimensions
-
F. Bornemann, B. Erdmann and R. Kornhuber, A posteriori error estimates for elliptic problems in two and three space dimensions, SIAM J. Numer. Anal. 33(3) (1996) 1188-1204.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, Issue.3
, pp. 1188-1204
-
-
Bornemann, F.1
Erdmann, B.2
Kornhuber, R.3
-
15
-
-
0003210742
-
The Mathematical Theory of Finite Element Methods
-
Springer, New York
-
S.C. Brenner and L.R. Scott, The Mathematical Theory of Finite Element Methods, Texts in Applied Mathematics, Vol. 15 (Springer, New York, 1994).
-
(1994)
Texts in Applied Mathematics
, vol.15
-
-
Brenner, S.C.1
Scott, L.R.2
-
16
-
-
0033264646
-
Quasi interpolation and a posteriori error analysis in finite element method
-
C. Carstensen, Quasi interpolation and a posteriori error analysis in finite element method, Modél Math. Anal. Numér. 33 (1999) 1187-1202.
-
(1999)
Modél Math. Anal. Numér.
, vol.33
, pp. 1187-1202
-
-
Carstensen, C.1
-
17
-
-
0036003405
-
2-projection onto finite element spaces
-
2-projection onto finite element spaces, Math. Comp. 71 (2002) 157-163.
-
(2002)
Math. Comp.
, vol.71
, pp. 157-163
-
-
Carstensen, C.1
-
19
-
-
0042616356
-
Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening
-
Technical report 00-23, Christian-Albrechts-Universität zu Kiel, Kiel. Preprint
-
C. Carstensen and J. Alberty, Averaging techniques for reliable a posteriori FE-error control in elastoplasticity with hardening, Berichtsreihe des Mathematischen Seminars Kiel, Technical report 00-23, Christian-Albrechts-Universität zu Kiel, Kiel (2000). Preprint http://www.numerik. uni-kiel.de/reports/2000/00-23.html
-
(2000)
Berichtsreihe des Mathematischen Seminars Kiel
-
-
Carstensen, C.1
Alberty, J.2
-
20
-
-
0041614361
-
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids part I. Low order conforming, nonconforming, and mixed FEM
-
In press
-
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. Comp. (2001). In press; http://www.numerik.uni-kiel.de/reports/1999/ 99-11.html
-
(2001)
Math. Comp.
-
-
Carstensen, C.1
Bartels, S.2
-
21
-
-
0034483495
-
Constants in Clément-interpolation error and residual based a posteriori error estimates in Finite Element Methods
-
C. Carstensen and S.A. Funken, Constants in Clément-interpolation error and residual based a posteriori error estimates in Finite Element Methods, East-West Journal of Numerical Analysis 8(3) (2000) 153-256.
-
(2000)
East-West Journal of Numerical Analysis
, vol.8
, Issue.3
, pp. 153-256
-
-
Carstensen, C.1
Funken, S.A.2
-
22
-
-
0033295738
-
Fully reliable localised error control in the FEM
-
C. Carstensen and S.A. Funken, Fully reliable localised error control in the FEM, SIAM J. Sci. Comput. 21(4) (2000) 1465-1484.
-
(2000)
SIAM J. Sci. Comput.
, vol.21
, Issue.4
, pp. 1465-1484
-
-
Carstensen, C.1
Funken, S.A.2
-
23
-
-
0035910292
-
Averaging technique for FE-a posteriori error control in elasticity. Part I. Conforming FEM
-
C. Carstensen and S.A. Funken, Averaging technique for FE-a posteriori error control in elasticity. Part I. Conforming FEM, Comput. Methods Appl. Mech. Engrg. 190 (2001) 2483-2498.
-
(2001)
Comput. Methods Appl. Mech. Engrg.
, vol.190
, pp. 2483-2498
-
-
Carstensen, C.1
Funken, S.A.2
-
24
-
-
0035827106
-
Averaging technique for FE-a posteriori error control in elasticity. Part II. λ-independent estimates
-
C. Carstensen and S.A. Funken, Averaging technique for FE-a posteriori error control in elasticity. Part II. λ-independent estimates, Comput. Methods Appl. Mech. Engrg. 190(35/36) (2001) 4663-4675.
-
(2001)
Comput. Methods Appl. Mech. Engrg.
, vol.190
, Issue.35-36
, pp. 4663-4675
-
-
Carstensen, C.1
Funken, S.A.2
-
25
-
-
0035827106
-
Averaging technique for FE-a posteriori error control in elasticity. Part III. Locking-free nonconforming FEM
-
(accepted). Preprint
-
C. Carstensen and S.A. Funken, Averaging technique for FE-a posteriori error control in elasticity. Part III. Locking-free nonconforming FEM, Comput. Methods Appl. Mech. Engrg. (2001) (accepted). Preprint http://www.numerik.uni-kiel.de/reports/2000/00-11.html
-
(2001)
Comput. Methods Appl. Mech. Engrg.
-
-
Carstensen, C.1
Funken, S.A.2
-
26
-
-
0035647481
-
A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems
-
C. Carstensen and S.A. Funken, A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems, Math. Comp. 70(236) (2001) 1353-1381.
-
(2001)
Math. Comp.
, vol.70
, Issue.236
, pp. 1353-1381
-
-
Carstensen, C.1
Funken, S.A.2
-
27
-
-
0000909646
-
Edge residuals dominate a posteriori error estimates for low order finite element methods
-
C. Carstensen and R. Verfürth, Edge residuals dominate a posteriori error estimates for low order finite element methods, SIAM J. Numer. Anal. 36(5) (1999) 1571-1587.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, Issue.5
, pp. 1571-1587
-
-
Carstensen, C.1
Verfürth, R.2
-
29
-
-
1542639888
-
A convergent adaptive algorithm for Poisson's equation
-
W. Doerfler, A convergent adaptive algorithm for Poisson's equation, SIAM J. Numer. Anal. 33(3) (1996) 1106-1124.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, Issue.3
, pp. 1106-1124
-
-
Doerfler, W.1
-
30
-
-
0036013506
-
Small data oscillation implies the saturation assumption
-
DOI 10.1007/S002110100321; Online publication: 25 July
-
W. Doerfler and R.H. Nochetto, Small data oscillation implies the saturation assumption, Numerische Mathematik, DOI 10.1007/S002110100321; Online publication: 25 July 2001.
-
(2001)
Numerische Mathematik
-
-
Doerfler, W.1
Nochetto, R.H.2
-
31
-
-
0009522795
-
Introduction to adaptive methods for differential equations
-
K. Eriksson, D. Estep, P. Hansbo and C. Johnson, Introduction to adaptive methods for differential equations, Acta Numerica (1995) 105-158.
-
(1995)
Acta Numerica
, pp. 105-158
-
-
Eriksson, K.1
Estep, D.2
Hansbo, P.3
Johnson, C.4
-
32
-
-
0001585002
-
Error estimate procedure in the finite element method and applications
-
P. Ladeveze and D. Leguillon, Error estimate procedure in the finite element method and applications, SIAM J. Numer. Anal. 20(3) (1983) 485-509.
-
(1983)
SIAM J. Numer. Anal.
, vol.20
, Issue.3
, pp. 485-509
-
-
Ladeveze, P.1
Leguillon, D.2
-
33
-
-
0034447334
-
Data oscillation and convergence of adaptive FEM
-
P. Morin, R.H. Nochetto and K.G. Siebert, Data oscillation and convergence of adaptive FEM, SIAM J. Numer. Anal. 38(2) (2000) 466-488.
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, Issue.2
, pp. 466-488
-
-
Morin, P.1
Nochetto, R.H.2
Siebert, K.G.3
-
34
-
-
0012917115
-
-
Preprint
-
P. Morin, R.H. Nochetto and K.G. Siebert, Local problems on stars: A posteriori error estimators, convergence, and performance, Preprint.
-
Local Problems on Stars: A Posteriori Error Estimators, Convergence, and Performance
-
-
Morin, P.1
Nochetto, R.H.2
Siebert, K.G.3
-
35
-
-
0012957225
-
Removing the saturation assumption in a posteriori error analysis
-
R. Nochetto, Removing the saturation assumption in a posteriori error analysis, Rend. Sci. Mat. Appl. A 127 (1994) 67-82.
-
(1994)
Rend. Sci. Mat. Appl. A
, vol.127
, pp. 67-82
-
-
Nochetto, R.1
-
36
-
-
34250943125
-
An optimal Poincaré inequality for convex domains
-
L.E. Payne and H.F. Weinberger, An optimal Poincaré inequality for convex domains, Archive Rat. Mech. Anal. 5 (1960) 286-292.
-
(1960)
Archive Rat. Mech. Anal.
, vol.5
, pp. 286-292
-
-
Payne, L.E.1
Weinberger, H.F.2
-
37
-
-
0028495110
-
Some remarks on Zienkiewicz-Zhu estimator
-
R. Rodriguez, Some remarks on Zienkiewicz-Zhu estimator, Internat. J. Numer. Methods PDE 10 (1994) 625-635.
-
(1994)
Internat. J. Numer. Methods PDE
, vol.10
, pp. 625-635
-
-
Rodriguez, R.1
-
38
-
-
0000284899
-
A posteriori error analysis in the finite element method
-
Finite Element Methods. 50 years of the Courant Element, Conference Held at the University of Jyvaeskylae, Finland, 1993
-
R. Rodriguez, A posteriori error analysis in the finite element method, in: Finite Element Methods. 50 years of the Courant Element, Conference Held at the University of Jyvaeskylae, Finland, 1993, Lecture Notes in Pure and Applied Mathematics, Vol. 164 (1994) pp. 625-635.
-
(1994)
Lecture Notes in Pure and Applied Mathematics
, vol.164
, pp. 625-635
-
-
Rodriguez, R.1
-
39
-
-
0033875841
-
Guaranteed computable bounds for the exact error in the finite element solution. Part II. Bounds for the energy norm of the error in two dimensions
-
T. Strouboulis, I. Babuška and S.K. Gangaraj, Guaranteed computable bounds for the exact error in the finite element solution. Part II. Bounds for the energy norm of the error in two dimensions, Internat. J. Numer. Methods Engrg. 47(1-3) (2000) 427-475.
-
(2000)
Internat. J. Numer. Methods Engrg.
, vol.47
, Issue.1-3
, pp. 427-475
-
-
Strouboulis, T.1
Babuška, I.2
Gangaraj, S.K.3
-
41
-
-
0023288565
-
A simple error estimator and adaptive procedure for practical engineering analysis
-
O.C. Zienkiewicz and J.Z. Zhu, A simple error estimator and adaptive procedure for practical engineering analysis, Internat. J. Numer. Methods Engrg. 24 (1987) 337-357.
-
(1987)
Internat. J. Numer. Methods Engrg.
, vol.24
, pp. 337-357
-
-
Zienkiewicz, O.C.1
Zhu, J.Z.2
|