Anisotropic norm-oriented mesh adaptation for a Poisson problem

DOI10.1016/j.jcp.2016.07.008zbMath1352.65472OpenAlexW2467853492MaRDI QIDQ727611

Gautier Brèthes, Alain Dervieux

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01413431/file/Norm-Oriented-Poisson-2ND-REVISION.pdf

zbMATH Keywords

finite elementsmetricadjointPoisson problemanisotropic mesh adaptationgoal-oriented mesh adaptation

Mathematics Subject Classification ID

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 (2)

A-SLEIPNNIR: a multiscale, anisotropic adaptive, particle level set framework for moving interfaces. Transport equation applications ⋮ An a priori anisotropic goal-oriented error estimate for viscous compressible flow and application to mesh adaptation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minimization of gradient errors of piecewise linear interpolation on simplicial meshes
• Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations
• Anisotropic error estimates for elliptic problems
• Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
• Metric tensors for anisotropic mesh generation
• Time accurate anisotropic goal-oriented mesh adaptation for unsteady flows
• Unified asymptotic analysis of interpolation errors for optimal meshes
• Continuous metrics and mesh adaptation
• Hessian-free metric-based mesh adaptation via geometry of interpolation error
• AnL^∞-L^pmesh-adaptive method for computing unsteady bi-fluid flows
• Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
• Continuous Mesh Framework Part II: Validations and Applications
• Optimal anisotropic meshes for minimizing interpolation errors in $L^p$-norm
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• A Panoramic View of Riemannian Geometry
• Adjoint Recovery of Superconvergent Functionals from PDE Approximations
• Multitarget Error Estimation and Adaptivity in Aerodynamic Flow Simulations
• Hessian-based anisotropic mesh adaptation in domains with discrete boundaries
• An adaptive algorithm for quasioptimal mesh generation

This page was built for publication: Anisotropic norm-oriented mesh adaptation for a Poisson problem