On the natural stabilization of convection dominated problems using high order Bubnov-Galerkin finite elements
type: Item
instance of: scholarly article
title: On the natural stabilization of convection dominated problems using high order Bubnov-Galerkin finite elements
zbMATH Open document ID: 1368.65124
author: Yanyan Li
publication date: 2017-08-09T00:00:00Z
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 6758932
zbMATH Keywords: \(p\)-FEM
zbMATH Keywords: convection-diffusion problems
zbMATH Keywords: singular-perturbation problem with boundary layer
MaRDI profile type: Publication
full work available at URL: j.camwa.2013.09.009
OpenAlex ID: W2077638648
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
cites work: A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
cites work: Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
cites work: Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions
cites work: On the stability of finite-element discretizations of convection-diffusion-reaction equations
cites work: Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales
cites work: Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
cites work: Large eddy simulation and the variational multiscale method
cites work: Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
cites work: Numerical models for differential problems. Translated by Silvia Quarteroni.
cites work: Q3522678
cites work: High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem
cites work: A class of discontinuous Petrov-Galerkin methods. I: The transport equation
cites work: A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
cites work: A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D
cites work: A class of discontinuous Petrov-Galerkin methods. III: Adaptivity
cites work: Enforcement of constraints and maximum principles in the variational multiscale method
cites work: CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
cites work: Stabilization of spectral methods by finite element bubble functions
cites work: Bubble stabilization of finite element methods for the linearized incompressible Navier-Stokes equations
cites work: Bubble stabilization of spectral Legendre methods for the advection-diffusion equation
cites work: A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
cites work: Global and local error analysis for the residual-free bubbles method applied to advection-dominated problems
cites work: LINK-CUTTING BUBBLES FOR THE STABILIZATION OF CONVECTION-DIFFUSION-REACTION PROBLEMS
cites work: \(b=\int g\)
cites work: Analysis of a new stabilized higher order finite element method for advection-diffusion equations
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
cites work: Residual-based stabilized higher-order FEM for advection-dominated problems
cites work: The $p$ and $hp$ versions of the finite element method for problems with boundary layers
cites work: Q4000182
cites work: Residual-Minimizing Krylov Subspace Methods for Stabilized Discretizations of Convection-Diffusion Equations
DOI: 10.1016/J.CAMWA.2013.09.009
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 6758932