Discrete Reliability for Crouzeix-Raviart FEMs
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Carsten Carstensen | Dietmar Gallistl | Mira Schedensack | C. Carstensen | D. Gallistl | M. Schedensack
[1] Jun Hu,et al. Convergence and Optimality of the Adaptive Nonconforming Linear Element Method for the Stokes Problem , 2012, Journal of Scientific Computing.
[2] Susanne C. Brenner,et al. Two-level additive Schwarz preconditioners for nonconforming finite element methods , 1996, Math. Comput..
[3] Carsten Carstensen,et al. Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems , 2014, Math. Comput..
[4] Carsten Carstensen,et al. Comparison Results of Finite Element Methods for the Poisson Model Problem , 2012, SIAM J. Numer. Anal..
[5] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[6] M. Marden. Geometry of Polynomials , 1970 .
[7] D. Arnold,et al. A uniformly accurate finite element method for the Reissner-Mindlin plate , 1989 .
[8] Shipeng Mao,et al. Quasi-Optimality of Adaptive Nonconforming Finite Element Methods for the Stokes Equations , 2011, SIAM J. Numer. Anal..
[9] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[10] R. Durán,et al. A posteriori error estimators for nonconforming finite element methods , 1996 .
[11] P. Raviart,et al. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I , 1973 .
[12] Rob P. Stevenson,et al. Optimality of a Standard Adaptive Finite Element Method , 2007, Found. Comput. Math..
[13] N. S. Barnett,et al. Private communication , 1969 .
[14] Jun Hu,et al. A unifying theory of a posteriori error control for nonconforming finite element methods , 2007, Numerische Mathematik.
[15] Abdul Aziz,et al. Zero-Free Regions for Polynomials and Some Generalizations of Eneström-Kakeya Theorem , 1984, Canadian Mathematical Bulletin.
[16] Carsten Carstensen,et al. Explicit Error Estimates for Courant, Crouzeix-Raviart and Raviart-Thomas Finite Element Methods , 2012 .
[17] ROB STEVENSON,et al. The completion of locally refined simplicial partitions created by bisection , 2008, Math. Comput..
[18] Susanne C. Brenner,et al. Poincaré-Friedrichs Inequalities for Piecewise H1 Functions , 2003, SIAM J. Numer. Anal..
[19] C. T. Traxler,et al. An algorithm for adaptive mesh refinement inn dimensions , 1997, Computing.
[20] Abdul Aziz,et al. On the zeros of a certain class of polynomials and related analytic functions , 1980 .
[21] Daniele Boffi,et al. Finite element approximation of eigenvalue problems , 2010, Acta Numerica.
[22] Alfred Brauer,et al. Einige Anwendungen der Matrizentheorie auf algebraische Gleichungen. , 1969 .
[23] A. Joyal,et al. On the Location of Zeros of Polynomials , 1967, Canadian Mathematical Bulletin.
[24] Christian Kreuzer,et al. Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method , 2008, SIAM J. Numer. Anal..
[25] P. Clément. Approximation by finite element functions using local regularization , 1975 .
[26] Wolfgang Dahmen,et al. Adaptive Finite Element Methods with convergence rates , 2004, Numerische Mathematik.
[27] Q. G. Mohammad. Location of the Zeros of Polynomials , 1967 .
[28] Carsten Carstensen,et al. Optimal adaptive nonconforming FEM for the Stokes problem , 2013, Numerische Mathematik.
[29] Carsten Carstensen,et al. The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust , 2012, SIAM J. Numer. Anal..
[30] Thirupathi Gudi,et al. A new error analysis for discontinuous finite element methods for linear elliptic problems , 2010, Math. Comput..
[31] Carsten Carstensen,et al. Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis , 2004, Numerische Mathematik.
[32] Carsten Carstensen,et al. A unifying theory of a posteriori finite element error control , 2005, Numerische Mathematik.
[33] Rüdiger Verfürth,et al. A posteriori error estimation and adaptive mesh-refinement techniques , 1994 .
[34] Joseph M. Maubach,et al. Local bisection refinement for $n$-simplicial grids generated by reflection , 2017 .
[35] Hella Rabus. A Natural Adaptive Nonconforming FEM Of Quasi-Optimal Complexity , 2010, Comput. Methods Appl. Math..
[36] R. Varga,et al. On smallest isolated gerschgorin disks for eigenvalues. III , 1968 .
[37] Shipeng Mao,et al. A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity , 2010, SIAM J. Numer. Anal..
[38] R. Hoppe,et al. A review of unified a posteriori finite element error control , 2012 .