Flexible patch post-processing recovery strategies for solution enhancement and adaptive mesh refinement

DOI10.1002/NME.3146zbMath1242.76114OpenAlexW2104603552MaRDI QIDQ2894753

V. Carey, Graham F. Carey

Publication date: 2 July 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.3146

zbMATH Keywords

error estimationfinite element methodsadaptivity

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (1)

On error control in the numerical solution of reaction-diffusion equation

Uses Software

• libMesh

Cites Work

• Unnamed Item
• A posteriori error estimates by recovered gradients in parabolic finite element equations
• Superconvergence for Galerkin methods for the two point boundary problem via local projections
• Superconvergence in Galerkin finite element methods
• A posteriori error estimators, gradient recovery by averaging, and superconvergence
• Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part 1: A smooth problem and globally quasi-uniform meshes
• Gradient recovery in adaptive finite-element methods for parabolic problems
• Polynomial preserving recovery for meshes from Delaunay triangulation or with high aspect ratio
• Function, Gradient, and Hessian Recovery Using Quadratic Edge‐Bump Functions
• Can We Have Superconvergent Gradient Recovery Under Adaptive Meshes?
• Superconvergent Derivative Recovery for Lagrange Triangular Elements of Degreepon Unstructured Grids
• Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements
• A simple error estimator and adaptive procedure for practical engineerng analysis
• 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
• Some remarks on Zienkiewicz‐Zhu estimator
• Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids: Part I. Global estimates
• Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids
• Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part II: The piecewise linear case
• Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
• Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
• A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
• Analysis of recovery type a posteriori error estimators for mildly structured grids
• Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point

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