Free Access
Issue |
ESAIM: M2AN
Volume 40, Number 6, November-December 2006
|
|
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Page(s) | 991 - 1021 | |
DOI | https://doi.org/10.1051/m2an:2006034 | |
Published online | 15 February 2007 |
- I. Babuška and W.C. Rheinboldt, Error estimates for adaptive finite element method. SIAM J. Numer. Anal. 15 (1978) 736–754. [CrossRef] [MathSciNet] [Google Scholar]
- R. Becker and R. Rannacher, An optimal control approach to a posteriori error estimation in finite element methods. Acta Num. (2001) 1–102. [Google Scholar]
- A. Bergam, C. Bernardi and Z. Mghazli, A posteriori analysis of the finite element discretization of some parabolic equations. Math. Comp. 74 (2004) 1117–1138. [Google Scholar]
- C. Bernardi and R. Verfürth, Adaptive finite element methods for elliptic equations with non-smooth coefficients. Numer. Math. 85 (2000) 579–608. [CrossRef] [MathSciNet] [Google Scholar]
- P.G. Ciarlet, The Finite Element Method for Elliptic Problems. North-Holland Publishing Company, Amsterdam (1978). [Google Scholar]
- P. Clément, Approximation by finite element functions using local regularization. RAIRO Sér. Rouge Anal. Numér. 9 (1975) 77–84. [Google Scholar]
- W. Dörfler, A convergent adaptive algorithm for Poisson's equation. SIAM J. Numer. Anal. 33 (1996) 1106–1124. [CrossRef] [MathSciNet] [Google Scholar]
- M. Dryja, M.V. Sarkis and O.B. Widlund, Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions. Numer. Math. 72 (1996) 313–348. [CrossRef] [MathSciNet] [Google Scholar]
- K. Eriksson and C. Johnson, Adaptive finite element methods for parabolic problems. V. Long-time integration. SIAM J. Numer. Anal. 32 (1995) 1750–1763. [CrossRef] [MathSciNet] [Google Scholar]
- K. Eriksson, D. Estep, P. Hansbo and C. Johnson, Introduction to adaptive methods for differential equations. Acta Num. (1995) 105–158. [Google Scholar]
- B.S. Kirk, J.W. Peterson, R. Stogner and S. Petersen, LibMesh. The University of Texas, Austin, CFDLab and Technische Universität Hamburg, Hamburg. http://libmesh.sourceforge.net. [Google Scholar]
- P. Morin, R.H. Nocetto and K.G. Siebert, Convergence of adaptive finite element methods. SIAM Rev. 44 (2002) 631–658. [CrossRef] [MathSciNet] [Google Scholar]
- M. Petzoldt, A posteriori error estimators for elliptic equations with discontinuous coefficients. Adv. Comput. Math. 16 (2002) 47–75. [CrossRef] [MathSciNet] [Google Scholar]
- M. Picasso, Adaptive finite elements for a linear parabolic problem. Comput. Methods Appl. Mech. Engrg. 167 (1998) 223–237. [Google Scholar]
- R. Verfürth, A posteriori error estimates for nonlinear problems. Finite element discretizations of parabolic equations. Ruhr-Universität Bochum, Report 180/1995. [Google Scholar]
- R. Verfürth, A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. John Wiley & Sons, Chichester-New York (1996). [Google Scholar]
- R. Verfürth, A posteriori error estimates for finite element discretization of the heat equations. Calcolo 40 (2003) 195–212. [CrossRef] [MathSciNet] [Google Scholar]
- 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. [Google Scholar]
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