Convergence analysis of an adaptive nonconforming finite element method
暂无分享,去创建一个
[1] Ricardo H. Nochetto,et al. Local problems on stars: A posteriori error estimators, convergence, and performance , 2003, Math. Comput..
[2] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis , 2000 .
[3] Ronald H. W. Hoppe,et al. Adaptive Multilevel Iterative Techniques for Nonconforming Finite Element Discretizations , 1995 .
[4] Kyōto Daigaku. Sūgakuka. Lectures in mathematics , 1968 .
[5] Carsten Carstensen,et al. Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM , 2002, Math. Comput..
[6] Ricardo H. Nochetto,et al. Data Oscillation and Convergence of Adaptive FEM , 2000, SIAM J. Numer. Anal..
[7] A. Agouzal. A Posteriori Error Estimator for Nonconforming Finite Element Methods , 1994 .
[8] D. Braess,et al. Multigrid methods for nonconforming finite element methods , 1990 .
[9] Friedhelm Schieweck,et al. A posteriori error estimates with post-processing for nonconforming finite elements , 2002 .
[10] C. Bahriawati,et al. Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control , 2005 .
[11] R. Durán,et al. A posteriori error estimators for nonconforming finite element methods , 1996 .
[12] Carsten Carstensen,et al. A posteriori error estimates for nonconforming finite element methods , 2002, Numerische Mathematik.
[13] Michel Fortin,et al. Mixed and Hybrid Finite Element Methods , 2011, Springer Series in Computational Mathematics.
[14] L. D. Marini. An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart–Thomas Mixed Method , 1985 .
[15] Mark Ainsworth,et al. Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation , 2004, SIAM J. Numer. Anal..
[16] Guido Kanschat,et al. A posteriori error estimates¶for nonconforming finite element schemes , 1999 .
[17] 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..
[18] Endre Süli,et al. Adaptive finite element methods for differential equations , 2003, Lectures in mathematics.
[19] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis: Oden/A Posteriori , 2000 .
[20] Gary R. Consolazio,et al. Finite Elements , 2007, Handbook of Dynamic System Modeling.
[21] Peter Oswald. On a hierarchical basis multilevel method with nonconforming P1 elements , 1992 .
[22] C. Carstensen. QUASI-INTERPOLATION AND A POSTERIORI ERROR ANALYSIS IN FINITE ELEMENT METHODS , 1999 .
[23] W. Dörfler. A convergent adaptive algorithm for Poisson's equation , 1996 .
[24] Carsten Carstensen,et al. Error reduction and convergence for an adaptive mixed finite element method , 2006, Math. Comput..
[25] Wolfgang Dahmen,et al. Adaptive Finite Element Methods with convergence rates , 2004, Numerische Mathematik.
[26] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[27] Ronald H. W. Hoppe,et al. Element-oriented and edge-oriented local error estimators for nonconforming finite element methods , 1996 .
[28] Rüdiger Verfürth,et al. A posteriori error estimation and adaptive mesh-refinement techniques , 1994 .
[29] Alfred V. Aho,et al. Data Structures and Algorithms , 1983 .
[30] Claes Johnson,et al. Computational Differential Equations , 1996 .
[31] I. Babuska,et al. The finite element method and its reliability , 2001 .
[32] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[33] S. C. Brenner,et al. An Optimal-Order Multigrid Method for P1 Nonconforming Finite Elements , 1989 .