A posteriori error estimation and adaptivity based on VMS for the incompressible Navier-Stokes equations
From MaRDI portal
Publication:2020825
DOI10.1016/j.cma.2020.113508zbMath1506.76082OpenAlexW3103250439MaRDI QIDQ2020825
Diego Irisarri, Guillermo Hauke
Publication date: 26 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.113508
Navier-Stokes equationsfinite elementsadaptivityvariational multiscale methoda posteriori error estimation
Navier-Stokes equations for incompressible viscous fluids (76D05) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A review of variational multiscale methods for the simulation of turbulent incompressible flows
- A flux-free a posteriori error estimator for the incompressible Stokes problem using a mixed FE formulation
- A variational multiscale a posteriori error estimation method for mixed form of nearly incompressible elasticity
- A multiscale/stabilized finite element method for the advection-diffusion equation
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- Adaptive variational multiscale methods based on a posteriori error estimation: energy norm estimates for elliptic problems
- Simple \(C^ 0\) approximations for the computation of incompressible flows
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- A posteriori error estimators for the Stokes equations
- Stabilized finite element methods. II: The incompressible Navier-Stokes equations
- The variational multiscale method -- a paradigm for computational mechanics
- An analysis of the time integration algorithms for the finite element solutions of incompressible Navier--Stokes equations based on a stabilised formulation.
- Robustness in a posteriori error analysis for FEM flow models
- Parallel and adaptive VMS finite elements formulation for aerothermal problems
- Variational multiscale a posteriori error estimation for systems: the Euler and Navier-Stokes equations
- Recent developments in variational multiscale methods for large-eddy simulation of turbulent flow
- Variational multiscale a posteriori error estimation for systems. Application to linear elasticity
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- A posteriori error estimators for the Stokes problem
- An a posteriori error estimate for finite element approximations of the Navier-Stokes equations
- Finite element solution strategies for large-scale flow simulations
- A comparative study of different sets of variables for solving compressible and incompressible flows
- A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem
- Variational multiscale error estimators for the adaptive mesh refinement of compressible flow simulations
- On the robustness of variational multiscale error estimators for the forward propagation of uncertainty
- A posteriori pointwise error computation for 2-D transport equations based on the variational multiscale method
- Output-based error estimation and mesh adaptation for variational multiscale methods
- Variational multiscale error estimators for solid mechanics adaptive simulations: an orthogonal subgrid scale approach
- Variational multiscale error estimator for anisotropic adaptive fluid mechanic simulations: application to convection-diffusion problems
- On the computation of the stabilized coefficients for the 1D spectral VMS method
- Error estimators for advection-reaction-diffusion equations based on the solution of local problems
- The multiscale approach to error estimation and adaptivity
- A multiscale finite element method for the incompressible Navier-Stokes equations
- Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers
- Proper intrinsic scales for a posteriori multiscale error estimation
- Parallel adaptive mesh refinement for incompressible flow problems
- A multiscale a posteriori error estimate
- Pointwise error estimation and adaptivity for the finite element method using fundamental solutions
- The finite element method with Lagrangian multipliers
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Subdomain-based flux-free a posteriori error estimators
- Error estimation and mesh adaptivity in incompressible viscous flows using a residual power approach
- Variational multiscale a posteriori error estimation for multi-dimensional transport problems
- Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations
- A Posteriori Error Estimators for the Stokes and Oseen Equations
- A Posteriori Error Estimates for the Stokes Problem
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
- Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
- A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations
- Pointwise Error Estimation for the One-Dimensional Transport Equation Based on the Variational Multiscale Method
- Stabilization of Galerkin approximations of transport equations by subgrid modeling
- Adaptive variational multiscale method for the Stokes equations
- Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem
This page was built for publication: A posteriori error estimation and adaptivity based on VMS for the incompressible Navier-Stokes equations
