A fully optimal anisotropic mesh adaptation method based on a hierarchical error estimator

DOI10.1016/j.cma.2011.10.001zbMath1243.65143OpenAlexW2039400225MaRDI QIDQ438065

Richard Bois, Michel Fortin, André Fortin

Publication date: 20 July 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.10.001

zbMATH Keywords

gradient recoverymesh adaptationanisotropic meshhierarchical error estimationoptimal mesh

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Cites Work

• Unnamed Item
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• Metric construction by length distribution tensor and edge based error for anisotropic adaptive meshing
• Minimal roughness property of the Delaunay triangulation
• On optimal triangular meshes for minimizing the gradient error
• A posteriori error estimation and adaptive mesh-refinement techniques
• Anisotropic error estimates for elliptic problems
• An a posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes
• A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates
• Reliability and efficiency of an anisotropic Zienkiewicz-Zhu error estimator
• On some new recovery-based a posteriori error estimators
• An anisotropic Zienkiewicz-Zhu-type error estimator for 3D applications
• A Posteriori Error Estimates Based on Hierarchical Bases
• Anisotropic mesh adaption by metric-driven optimization
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Long and Thin Triangles Can Be Good for Linear Interpolation
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• A‐posteriori error estimates for the finite element method
• Mesh Smoothing Using A Posteriori Error Estimates
• An Anisotropic Error Indicator Based on Zienkiewicz--Zhu Error Estimator: Application to Elliptic and Parabolic Problems
• Anisotropic mesh adaptation: towards user-independent, mesh-independent and solver-independent CFD. Part I: general principles
• A New Finite Element Gradient Recovery Method: Superconvergence Property
• High‐order methods and mesh adaptation for Euler equations
• On the Error of Linear Interpolation and the Orientation, Aspect Ratio, and Internal Angles of a Triangle

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