Analysis of an adaptive Uzawa finite element method for the nonlinear Stokes problem
暂无分享,去创建一个
[1] P. Clément. Approximation by finite element functions using local regularization , 1975 .
[2] Christian Kreuzer,et al. Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation , 2008, SIAM J. Numer. Anal..
[3] W. B. Liu,et al. Quasi-norm Error Bounds for the Nite Element Approximation of a Non-newtonian Ow , 1994 .
[4] R. Temam,et al. Analyse convexe et problèmes variationnels , 1974 .
[5] Christian Kreuzer,et al. Optimality of an adaptive finite element method for the p-Laplacian equation , 2012 .
[6] Kunibert G. Siebert,et al. Design of Adaptive Finite Element Software - The Finite Element Toolbox ALBERTA , 2005, Lecture Notes in Computational Science and Engineering.
[7] E. Süli,et al. Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows , 2007 .
[8] Masaaki Kijima,et al. THEORY AND ALGORITHMS OF , 1988 .
[9] Joseph M. Maubach,et al. Local bisection refinement for $n$-simplicial grids generated by reflection , 2017 .
[10] Kunibert G. Siebert,et al. A BASIC CONVERGENCE RESULT FOR CONFORMING ADAPTIVE FINITE ELEMENTS , 2008 .
[11] M. Ruzicka,et al. Non-Newtonian fluids and function spaces , 2007 .
[12] J. Rao,et al. In vitro brain acetylcholinesterase response among three inbred strains of mice to monocrotophos. , 1991, Journal of Environmental Science and Health. Part B - Pesticides, Food Contaminants, and Agricultural Wastes.
[13] A. Schmidt,et al. Design of Adaptive Finite Element Software , 2005 .
[14] Andreas Veeser,et al. A posteriori error estimators, gradient recovery by averaging, and superconvergence , 2006, Numerische Mathematik.
[15] Ricardo H. Nochetto,et al. Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs , 2005, SIAM J. Numer. Anal..
[16] Kunibert G. Siebert,et al. A convergence proof for adaptive finite elements without lower bound , 2011 .
[17] Lars Diening,et al. Numerische Mathematik Interpolation operators in Orlicz – Sobolev spaces , 2007 .
[18] I. Ekeland,et al. Convex analysis and variational problems , 1976 .
[19] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis , 2000 .
[20] Lars Diening,et al. Fractional estimates for non-differentiable elliptic systems with general growth , 2008 .
[21] Julian Musielak,et al. Orlicz Spaces and Modular Spaces , 1983 .
[22] P. G. Ciarlet,et al. Introduction to Numerical Linear Algebra and Optimisation , 1989 .
[23] Wenbin Liu,et al. Finite element error analysis of a quasi-Newtonian flow obeying the Carreau or power law , 1993 .
[24] Rob P. Stevenson,et al. An Optimal Adaptive Finite Element Method for the Stokes Problem , 2008, SIAM J. Numer. Anal..
[25] K. N. Dollman,et al. - 1 , 1743 .
[26] V. Girault,et al. Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension , 1994 .
[27] William F. Mitchell,et al. A comparison of adaptive refinement techniques for elliptic problems , 1989, TOMS.
[28] Christian Kreuzer,et al. Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method , 2008, SIAM J. Numer. Anal..
[29] Amy Henderson Squilacote. The Paraview Guide , 2008 .
[30] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis: Oden/A Posteriori , 2000 .
[31] ROB STEVENSON,et al. The completion of locally refined simplicial partitions created by bisection , 2008, Math. Comput..
[32] M. Rao,et al. Theory of Orlicz spaces , 1991 .
[33] Igor Kossaczký. A recursive approach to local mesh refinement in two and three dimensions , 1994 .
[34] Peter Schlattmann,et al. Theory and Algorithms , 2009 .
[35] Monique Dauge,et al. Stationary Stokes and Navier-Stokes systems on two-or three-dimensional domains with corners , 1989 .
[36] V. Kokilashvili,et al. Weighted Inequalities in Lorentz and Orlicz Spaces , 1991 .
[37] M. Fortin. Old and new finite elements for incompressible flows , 1981 .
[38] Eberhard Bänsch,et al. Local mesh refinement in 2 and 3 dimensions , 1991, IMPACT Comput. Sci. Eng..
[39] Ricardo H. Nochetto,et al. Optimal relaxation parameter for the Uzawa Method , 2004, Numerische Mathematik.
[40] P. Morin,et al. CONVERGENCE OF FINITE ELEMENTS ADAPTED FOR WEAKER NORMS , 2007 .
[41] F. Smithies,et al. Convex Functions and Orlicz Spaces , 1962, The Mathematical Gazette.
[42] Lars Diening,et al. A decomposition technique for John domains , 2010 .
[43] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.
[44] Theodore G. Faticoni,et al. Pure and Applied Mathematics: A Wiley‐Interscience Series of Texts, Monographs and Tracts , 2006 .
[45] Rob P. Stevenson,et al. Optimality of a Standard Adaptive Finite Element Method , 2007, Found. Comput. Math..
[46] Reinhard H Stephan Dahlke. Adaptive Wavelet Methods for Saddle Point Problems , 1999 .
[47] John W. Barrett,et al. Finite element approximation of the p-Laplacian , 1993 .
[48] Ricardo H. Nochetto,et al. An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition , 2002, SIAM J. Numer. Anal..
[50] Ricardo H. Nochetto,et al. Data Oscillation and Convergence of Adaptive FEM , 2000, SIAM J. Numer. Anal..
[51] Jean E. Roberts,et al. Mixed and hybrid finite element methods , 1987 .
[52] Andreas Veeser,et al. Convergent adaptive finite elements for the nonlinear Laplacian , 2002, Numerische Mathematik.