Coupling stabilized finite element methods with finite difference time integration for advection-diffusion-reaction problems

DOI10.1016/j.cma.2007.03.016zbMath1173.65352OpenAlexW1972404348MaRDI QIDQ1033270

M. I. Asensio, Blanca Ayuso, Giancarlo Sangalli

Publication date: 6 November 2009

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.2007.03.016

zbMATH Keywords

stabilizationfinite element methodsbubblesunsteady advection-diffusion-reaction

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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ANALYSIS OF THE SPACE SEMI-DISCRETIZED SUPG METHOD FOR TRANSIENT CONVECTION–DIFFUSION EQUATIONS, Bubble stabilization of linear finite element methods for nonlinear evolutionary convection-diffusion equations, A brief survey on numerical methods for solving singularly perturbed problems, Enriched finite element spaces for transient conduction heat transfer, Spectral variational multi-scale method for parabolic problems: application to 1D transient advection-diffusion equations, 3D unsteady diffusion and reaction-diffusion with singularities by GFEM with 27-node hexahedrons, Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems, A stabilized method for transient transport equations, Finite difference approximations of multidimensional unsteady convection-diffusion-reaction equations, On the computation of the stabilized coefficients for the 1D spectral VMS method, Bubble and multiscale stabilization of bilinear finite element methods for transient advection-diffusion equations on rectangular grids

Cites Work

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• Finite element methods for linear hyperbolic problems
• Stability of semidiscrete formulations for parabolic problems at small time steps
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• 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
• The variational multiscale method -- a paradigm for computational mechanics
• \(b=\int g\)
• An analysis of the time integration algorithms for the finite element solutions of incompressible Navier--Stokes equations based on a stabilised formulation.
• On the choice of a stabilizing subgrid for convection-diffusion problems
• On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
• Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• Residual-free bubbles for advection-diffusion problems: The general error analysis
• Fourier analysis of semi-discrete and space-time stabilized methods for the advective-diffusive-reactive equation. III: SGS/GSGS
• Conservation properties for the Galerkin and stabilised forms of the advection--diffusion and incompressible Navier--Stokes equations
• Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
• Fourier analysis of semi-discrete and space--time stabilized methods for the advective--diffusive--reactive equation: II. SGS
• Fourier analysis of semi-discrete and space--time stabilized methods for the advective--diffusive--reactive equation. I: SUPG
• Global and Local Error Analysis for the Residual-Free Bubbles Method Applied to Advection-Dominated Problems
• LINK-CUTTING BUBBLES FOR THE STABILIZATION OF CONVECTION-DIFFUSION-REACTION PROBLEMS
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
• CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
• Computation of moving boundaries and interfaces and stabilization parameters
• Augmented spaces, two‐level methods, and stabilizing subgrids
• THE RESIDUAL-FREE BUBBLE NUMERICAL METHOD WITH QUADRATIC ELEMENTS
• Compressible flow SUPG parameters computed from element matrices
• A robust a posteriori estimator for the residual-free bubbles method applied to advection-diffusion problems