An anisotropic unstructured triangular adaptive mesh algorithm based on error and error gradient information

DOI10.1016/j.matcom.2008.04.006zbMath1147.65019OpenAlexW2005264127MaRDI QIDQ942301

Maria Morandi Cecchi, Fabio Marcuzzi, Manolo Venturin

Publication date: 5 September 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.04.006

zbMATH Keywords

finite elementsnumerical examplesadaptive mesh refinementerror estimationadaptivityanisotropic meshesPoisson equationunrefinement

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

Fully iterative ILU preconditioning of the unsteady Navier-Stokes equations for GPGPU ⋮ On the superconvergence patch recovery techniques for the linear finite element approximation on anisotropic meshes ⋮ Superconvergence analysis of the linear finite element method and a gradient recovery postprocessing on anisotropic meshes

Uses Software

• PLTMG

Cites Work

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• Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part II: The piecewise linear case
• A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
• A fast numerical homogenization algorithm for finite element analysis

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