@article{M2AN_1999__33_6_1187_0, author = {Carstensen, Carsten}, title = {Quasi-interpolation and a posteriori error analysis in finite element methods}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {33}, year = {1999}, pages = {1187-1202}, mrnumber = {1736895}, zbl = {0948.65113}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1999__33_6_1187_0} }
Carstensen, Carsten. Quasi-interpolation and a posteriori error analysis in finite element methods. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 33 (1999) pp. 1187-1202. http://gdmltest.u-ga.fr/item/M2AN_1999__33_6_1187_0/
[1] Error estimators for a mixed method. Numer. Math. 74 (1996) 385-395. | MR 1414415 | Zbl 0866.65068
,[2] Error estimates for adaptive finite element computations. SIAM J. Numer. Anal. 15 (1978). | MR 483395 | Zbl 0398.65069
and ,[3] A feed-back approach to error control in finite element methods: basic analysis and examples. East-West J. Numer. Math. 4 (1996) 237-264. | MR 1430239 | Zbl 0868.65076
and ,[4] Finite Eléments. Cambridge University Press (1997). | MR 1463151 | Zbl 0894.65054
,[5] A posteriori error estimators for the Raviart-Thomas element. SIAM J. Numer. Anal. 33 (1996) 2431-2444. | MR 1427472 | Zbl 0866.65071
and ,[6] The Mathematical Theory of Finite Element Methods. Texts Appl. Math. 15, Springer, New-York (1994). | MR 1278258 | Zbl 0804.65101
and ,[7] Mixed and hybrid finite element methods. Springer-Verlag (1991). | MR 1115205 | Zbl 0788.73002
and ,[8] A posteriori error estimate for themixed finite element method. Math. Comp. 66 (1997) 465-476. | MR 1408371 | Zbl 0864.65068
,[9] Constants in Clément-interpolation error and residual based a posteriori error estimates in Finite Element Methods. Berichtsreihe des Mathematischen Seminars Kiel, Technical report 97-11, Christian-Albrechts-Universitât zu Kiel, Kiel (1997). | Zbl 0973.65091
and ,[10] Fully reliable localised error control in the FEM. Berichtsreihe des Mathematischen Seminars Kiel, Technical report 97-12, Christian-Albrechts-Universität zu Kiel, Kiel (1997). | Zbl 0956.65099
and ,[11] Edge residuals dominate a posteriori error estimates for low order finite element methods. Berichtsreihe des Mathematischen Seminars Kiel, Technical report 97-6, Christian-Albrechts-Universität zu Kiel; SIAM J.Numer. Anal. (to be published). | Zbl 0938.65124
and ,[12] Approximation by finite element functions using local regularization. RAIRO Anal. Numér. 9 (1975) 77-84. | Numdam | MR 400739 | Zbl 0368.65008
,[13] The finite element method for elliptic problems. North-Holland, Amsterdam (1978). | MR 520174 | Zbl 0383.65058
,[14] A posteriori error estimators for nonconforming finite element methods. Math.Modelling Numer. Anal. 30 (1996) 385-400. | Numdam | MR 1399496 | Zbl 0853.65110
, , and ,[15] Introduction to adaptive methods for differential equations. Acta Numer.4 (1995) 105-158. | MR 1352472 | Zbl 0829.65122
, , and ,[16] Finite Element Methods for Navier-Stokes Equations. Springer, Berlin (1986). | MR 851383 | Zbl 0585.65077
and ,[17] Element-orientated and edge-orientated local error estimates for nonconforming finite element methods. Math. Modelling Numer. Anal. 30 (1996) 237-263. | Numdam | MR 1382112 | Zbl 0843.65075
and ,[18] Theory and Numerical Analysis of the Navier-Stokes Equations. North-Holland (1977). | MR 769654 | Zbl 0383.35057
,[19] A review of a posteriori error estimation and adaptive mesh-refinement techniques. Wiley-Teubner (1996). | Zbl 0853.65108
,[20] Adaptive Multilevel-Finite-Elemente Methoden zur Lösung elliptischer Randwertprobleme. Ph.D. thesis, Math. Inst., TU München (1995). | Zbl 0849.65091
,[21] Asymptotically exact a posteriori error estimators for elements of bi-odd degree. Chinese J. Numer. Math. Appl. 13(1991) 64-78. | MR 1136156 | Zbl 0850.65200
,[22] Asymptotically exact a posteriori error estimator for elements of bi-even degree. Chinese J. Numer. Math. Appl. 13 (1991) 82-90. | MR 1258636 | Zbl 0850.65197
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