Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems
DOI10.1016/j.apnum.2004.06.007zbMath1107.65098OpenAlexW1976055395MaRDI QIDQ1765498
Luca Formaggia, Stefano Micheletti, Simona Perotto
Publication date: 23 February 2005
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2004.06.007
Stokes problemComputational fluid dynamicsa posteriori error estimatorsFinite element methodsAdvection-diffusion-reaction problemAnisotropic mesh adaption
Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) 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 (42)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Adaptive remeshing for compressible flow computations
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- A posteriori error estimation in least-squares stabilized finite element schemes
- Anisotropic error estimates for elliptic problems
- Adaptive finite element computational fluid dynamics using an anisotropic error estimator
- On the performance of high aspect ratio elements for incompressible flows
- Grid adaptation for functional outputs: application to two-dimensional inviscid flows
- An a posteriori error estimator for anisotropic refinement
- Anisotropic mesh refinement in stabilized Galerkin methods
- Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
- Reliability and efficiency of an anisotropic Zienkiewicz-Zhu error estimator
- Continuous metrics and mesh adaptation
- Anisotropic mesh adaption for time-dependent problems
- An Absolutely Stabilized Finite Element Method for the Stokes Problem
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- Simulation of hypersonic flows on unstructured grids
- Adaptive Streamline Diffusion Finite Element Methods for Stationary Convection-Diffusion Problems
- CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
- Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems
- New anisotropic a priori estimates
- An anisotropic a posteriori error estimate for a convection-diffusion problem
- Robust a posteriori error estimation for a singularly perturbed reaction--diffusion equation on anisotropic tetrahedral meshes
This page was built for publication: Anisotropic mesh adaptation in computational fluid dynamics: application to the advection-diffusion-reaction and the Stokes problems