A posteriori error estimator competition for conforming obstacle problems
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[1] Barbara I. Wohlmuth,et al. A Local A Posteriori Error Estimator Based on Equilibrated Fluxes , 2004, SIAM J. Numer. Anal..
[2] J. Rodrigues. Obstacle Problems in Mathematical Physics , 1987 .
[3] Pierre Ladevèze,et al. Error Estimate Procedure in the Finite Element Method and Applications , 1983 .
[4] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis , 2000 .
[5] Dietrich Braess,et al. Equilibrated residual error estimator for edge elements , 2007, Math. Comput..
[6] Rüdiger Verfürth,et al. A posteriori error estimation and adaptive mesh-refinement techniques , 1994 .
[7] C. Carstensen. QUASI-INTERPOLATION AND A POSTERIORI ERROR ANALYSIS IN FINITE ELEMENT METHODS , 1999 .
[8] Ricardo H. Nochetto,et al. Positivity preserving finite element approximation , 2002, Math. Comput..
[9] Carsten Carstensen,et al. Averaging techniques yield reliable a posteriori finite element error control for obstacle problems , 2004, Numerische Mathematik.
[10] Carsten Carstensen,et al. Convergence analysis of a conforming adaptive finite element method for an obstacle problem , 2007, Numerische Mathematik.
[11] Stefan A. Sauter,et al. A Posteriori Error Estimation for the Dirichlet Problem with Account of the Error in the Approximation of Boundary Conditions , 2003, Computing.
[12] Andreas Veeser,et al. Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems , 2001, SIAM J. Numer. Anal..
[13] Dietrich Braess,et al. A posteriori error estimators for obstacle problems – another look , 2005, Numerische Mathematik.
[14] R. Schreiber. Numerical Methods for Partial Differential Equations , 1999 .
[15] Claes Johnson,et al. Computational Differential Equations , 1996 .
[16] D. Kinderlehrer,et al. An introduction to variational inequalities and their applications , 1980 .
[17] Carsten Carstensen,et al. Estimator competition for Poisson problems , 2010 .
[18] R. Hoppe,et al. A review of unified a posteriori finite element error control , 2012 .
[19] Ricardo H. Nochetto,et al. Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems , 2004, SIAM J. Numer. Anal..
[20] Carsten Carstensen,et al. All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable , 2003, Math. Comput..
[21] W. Marsden. I and J , 2012 .
[22] R. Verfürth,et al. Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods , 1999 .
[23] S. Singh. Nonlinear functional analysis and its applications , 1986 .
[24] D. Braess,et al. A posteriori estimators for obstacle problems by the hypercircle method , 2008 .
[25] Chunxiao Wu,et al. Multigrid Methods for Obstacle Problems , 2013 .
[26] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[27] S. Repin. A Posteriori Estimates for Partial Differential Equations , 2008 .
[28] Carsten Carstensen,et al. An experimental survey of a posteriori Courant finite element error control for the Poisson equation , 2001, Adv. Comput. Math..
[29] Carsten Carstensen,et al. Fully Reliable Localized Error Control in the FEM , 1999, SIAM J. Sci. Comput..
[30] Rolf Rannacher,et al. A Feed-Back Approach to Error Control in Finite Element Methods: Basic Analysis and Examples , 1996 .
[31] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[32] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis: Oden/A Posteriori , 2000 .
[33] Ricardo H. Nochetto,et al. Pointwise a posteriori error control for elliptic obstacle problems , 2003, Numerische Mathematik.
[34] Carsten Carstensen,et al. Computational survey on a posteriori error estimators for nonconforming finite element methods for the Poisson problem , 2013, J. Comput. Appl. Math..
[35] Carsten Carstensen,et al. Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis , 2004, Numerische Mathematik.
[36] I. Babuska,et al. The finite element method and its reliability , 2001 .
[37] Carsten Carstensen,et al. A unifying theory of a posteriori finite element error control , 2005, Numerische Mathematik.
[38] Rüdiger Verführt,et al. A review of a posteriori error estimation and adaptive mesh-refinement techniques , 1996, Advances in numerical mathematics.
[39] R. S. Falk. Error estimates for the approximation of a class of variational inequalities , 1974 .
[40] Carsten Carstensen,et al. Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM , 2002, Math. Comput..