A Numerical Study of Some Hessian Recovery Techniques on Isotropic and Anisotropic Meshes
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Paul-Louis George | Frédéric Alauzet | Houman Borouchaki | Marco Picasso | P. George | H. Borouchaki | F. Alauzet | M. Picasso
[1] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[2] Simona Perotto,et al. Anisotropic error estimates for elliptic problems , 2003, Numerische Mathematik.
[3] Ningning Yan,et al. Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes , 2001 .
[4] Frédéric Alauzet,et al. On the use of anisotropic a posteriori error estimators for the adaptative solution of 3D inviscid compressible flows , 2009 .
[5] M. Fortin,et al. Anisotropic mesh adaptation: towards user‐independent, mesh‐independent and solver‐independent CFD. Part II. Structured grids , 2002 .
[6] Michel Fortin,et al. A fully optimal anisotropic mesh adaptation method based on a hierarchical error estimator , 2012 .
[7] Pekka Neittaanmäki,et al. Superconvergence phenomenon in the finite element method arising from averaging gradients , 1984 .
[8] Houman Borouchaki,et al. The BL2D Mesh Generator: Beginner's Guide, User's and Programmer's Manual , 1996 .
[9] Simona Perotto,et al. New anisotropic a priori error estimates , 2001, Numerische Mathematik.
[10] Jonathan Richard Shewchuk,et al. Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator , 1996, WACG.
[11] Mary F. Wheeler,et al. Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations , 1987 .
[12] Marco Picasso,et al. An Anisotropic Error Indicator Based on Zienkiewicz-Zhu Error Estimator: Application to Elliptic and Parabolic Problems , 2002, SIAM J. Sci. Comput..
[13] J. Dompierre,et al. Numerical comparison of some Hessian recovery techniques , 2007 .
[14] Nick Levine,et al. Superconvergent Recovery of the Gradient from Piecewise Linear Finite-element Approximations , 1985 .
[15] P. Clément. Approximation by finite element functions using local regularization , 1975 .
[16] Zhimin Zhang,et al. A New Finite Element Gradient Recovery Method: Superconvergence Property , 2005, SIAM J. Sci. Comput..
[17] Bernd Hamann,et al. Curvature Approximation for Triangulated Surfaces , 1993, Geometric Modelling.
[18] Bharat K. Soni,et al. Mesh Generation , 2020, Handbook of Computational Geometry.
[19] Patrick Laug,et al. BL2D-V2 : mailleur bidimensionnel adaptatif , 2003 .
[20] Zhimin Zhang,et al. A Posteriori Error Estimates Based on the Polynomial Preserving Recovery , 2004, SIAM J. Numer. Anal..
[21] Zhimin Zhang,et al. Analysis of recovery type a posteriori error estimators for mildly structured grids , 2003, Math. Comput..
[22] Frédéric Alauzet. High‐order methods and mesh adaptation for Euler equations , 2008 .
[23] Pascal Frey,et al. Anisotropic mesh adaptation for CFD computations , 2005 .
[24] M. Picasso. Numerical study of the effectivity index for an anisotropic error indicator based on Zienkiewicz–Zhu error estimator , 2002 .
[25] R. Rodríguez. Some remarks on Zienkiewicz‐Zhu estimator , 1994 .
[26] M. Fortin,et al. Anisotropic mesh adaptation: towards user‐independent, mesh‐independent and solver‐independent CFD. Part I: general principles , 2000 .
[27] Jean-François Remacle,et al. Transient adaptivity applied to two-phase incompressible flows , 2008, J. Comput. Phys..
[28] Plantage Muidergracht,et al. Gradient superconvergence on uniform simplicial partitions of polytopes , 2003 .
[29] O. C. Zienkiewicz,et al. A simple error estimator and adaptive procedure for practical engineerng analysis , 1987 .
[30] Zhimin Zhang,et al. Polynomial preserving recovery for meshes from Delaunay triangulation or with high aspect ratio , 2008 .
[31] Cécile Dobrzynski,et al. Adaptation de Maillage anisotrope 3D et application à l'aéro-thermique des bâtiments , 2005 .
[32] Marco Picasso,et al. Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives , 2006 .
[33] Zhimin Zhang,et al. Natural Superconvergence Points in Three-Dimensional Finite Elements , 2008, SIAM J. Numer. Anal..
[34] J. Z. Zhu,et al. The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .
[35] M. Filipiak. Mesh Generation , 2007 .
[36] Frédéric Hecht,et al. Anisotropic unstructured mesh adaption for flow simulations , 1997 .
[37] Ivan Hlaváček,et al. How to recover the gradient of linear elements on nonuniform triangulations , 1996 .