How a Nonconvergent Recovered Hessian Works in Mesh Adaptation

DOI10.1137/120898796zbMath1303.65101arXiv1211.2877OpenAlexW3103648785MaRDI QIDQ2927828

Weizhang Huang, L. Kamenski

Publication date: 4 November 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2877

zbMATH Keywords

convergencefinite elementerror estimateboundary value problemmesh adaptationanisotropic meshnumerical resultHessian recovery

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (11)

A hyperbolic Poisson solver for wall distance computation on irregular triangular grids ⋮ Polynomial preserving recovery on boundary ⋮ On optimal simplicial 3D meshes for minimizing the Hessian-based errors ⋮ A Study on Anisotropic Mesh Adaptation for Finite Element Approximation of Eigenvalue Problems with Anisotropic Diffusion Operators ⋮ Anisotropic mesh adaptation for high-order finite elements spaces with the log-simplex method. Application to discontinuous Galerkin methods ⋮ An adaptive moving mesh finite element solution of the regularized long wave equation ⋮ Hessian recovery for finite element methods ⋮ A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws ⋮ A study on moving mesh finite element solution of the porous medium equation ⋮ Variational multiscale error estimator for anisotropic adaptive fluid mechanic simulations: application to convection-diffusion problems ⋮ Anisotropic mesh quality measures and adaptation for polygonal meshes

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