Local enhancement of functional evaluation and adjoint error estimation for variational multiscale formulations
From MaRDI portal
Publication:1988132
DOI10.1016/j.cma.2019.05.023zbMath1441.65102OpenAlexW2946838579WikidataQ127804156 ScholiaQ127804156MaRDI QIDQ1988132
Vikram V. Garg, Roy H. Stogner
Publication date: 16 April 2020
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.2019.05.023
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (2)
A review of VMS a posteriori error estimation with emphasis in fluid mechanics ⋮ Towards adjoint-based mesh refinement for large eddy simulation using reduced-order primal solutions: preliminary 1D Burgers study
Uses Software
Cites Work
- Unnamed Item
- A posteriori error estimates for mixed finite element approximations of parabolic problems
- A variational multiscale method based on bubble functions for convection-dominated convection-diffusion equation
- A variational Germano approach for stabilized finite element methods
- A posteriori optimization of parameters in stabilized methods for convection-diffusion problems.I
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations
- Parallel and adaptive VMS finite elements formulation for aerothermal problems
- Recent developments in variational multiscale methods for large-eddy simulation of turbulent flow
- Output-based error estimation and mesh adaptation for variational multiscale methods
- Spectral analysis of the dissipation of the residual-based variational multiscale method
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Approaches for Adjoint-Based A Posteriori Analysis of Stabilized Finite Element Methods
- Algorithms and Error Bounds for Multivariate Piecewise Constant Approximation
- A variational multiscale model for the advection-diffusion-reaction equation
- An optimal control approach to a posteriori error estimation in finite element methods
- Subgrid Upscaling and Mixed Multiscale Finite Elements
- Finite element approximation of the modified Boussinesq equations using a stabilized formulation
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
- CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
- Quasi Optimality of the SUPG Method for the One-Dimensional Advection-Diffusion Problem
- Pointwise Error Estimation for the One-Dimensional Transport Equation Based on the Variational Multiscale Method
- Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Solutions over Unstructured Triangular Meshes
- Multitarget Error Estimation and Adaptivity in Aerodynamic Flow Simulations
- Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations
- Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
- An adjoint consistency analysis for a class of hybrid mixed methods
This page was built for publication: Local enhancement of functional evaluation and adjoint error estimation for variational multiscale formulations