How to prove the discrete reliability for nonconforming finite element methods.
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[1] L. Morley. The Triangular Equilibrium Element in the Solution of Plate Bending Problems , 1968 .
[2] P. Raviart,et al. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I , 1973 .
[3] Carsten Carstensen,et al. Comparison Results of Finite Element Methods for the Poisson Model Problem , 2012, SIAM J. Numer. Anal..
[4] Noel Walkington. A C1 Tetrahedral Finite Element without Edge Degrees of Freedom , 2014, SIAM J. Numer. Anal..
[5] Christoph Ortner,et al. On the Convergence of Adaptive Nonconforming Finite Element Methods for a Class of Convex Variational Problems , 2011, SIAM J. Numer. Anal..
[6] Hella Rabus. A Natural Adaptive Nonconforming FEM Of Quasi-Optimal Complexity , 2010, Comput. Methods Appl. Math..
[7] Carsten Carstensen,et al. Discrete Reliability for Crouzeix-Raviart FEMs , 2013, SIAM J. Numer. Anal..
[8] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[9] Carsten Carstensen,et al. Guaranteed lower bounds for eigenvalues , 2014, Math. Comput..
[10] ROB STEVENSON,et al. The completion of locally refined simplicial partitions created by bisection , 2008, Math. Comput..
[11] Jun Hu,et al. A discrete Helmholtz decomposition with Morley finite element functions and the optimality of adaptive finite element schemes , 2014, Comput. Math. Appl..
[12] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[13] Thirupathi Gudi,et al. A new error analysis for discontinuous finite element methods for linear elliptic problems , 2010, Math. Comput..
[14] Carsten Carstensen,et al. Optimal Convergence Rates for Adaptive Lowest-Order Discontinuous Petrov-Galerkin Schemes , 2018, SIAM J. Numer. Anal..
[15] Dietmar Gallistl,et al. Morley Finite Element Method for the Eigenvalues of the Biharmonic Operator , 2014, 1406.2876.
[16] M. Fortin,et al. Mixed Finite Element Methods and Applications , 2013 .
[17] Carsten Carstensen,et al. Guaranteed lower eigenvalue bounds for the biharmonic equation , 2014, Numerische Mathematik.
[18] Carsten Carstensen,et al. Axioms of Adaptivity with Separate Marking for Data Resolution , 2017, SIAM J. Numer. Anal..
[19] Wang Ming,et al. The Morley element for fourth order elliptic equations in any dimensions , 2006, Numerische Mathematik.
[20] Jun Hu,et al. Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements , 2007, SIAM J. Numer. Anal..
[21] Carsten Carstensen,et al. Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation , 2017, Comput. Methods Appl. Math..
[22] Shangyou Zhang. A family of 3D continuously differentiable finite elements on tetrahedral grids , 2009 .
[23] Jun Hu,et al. Convergence and optimality of the adaptive Morley element method , 2012, Numerische Mathematik.
[24] Carsten Carstensen,et al. Axioms of adaptivity , 2013, Comput. Math. Appl..
[25] Carsten Carstensen,et al. Nonconforming FEM for the obstacle problem , 2017 .
[26] Carsten Carstensen,et al. Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems , 2014, Math. Comput..