Comparison of some finite element methods for solving the diffusion-convection-reaction equation
type: Item
instance of: scholarly article
title: Comparison of some finite element methods for solving the diffusion-convection-reaction equation
zbMATH Open document ID: 0959.76040
DOI: 10.1016/S0045-7825(97)00206-5
author: Ramon Codina
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2001-05-06T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 76V05
zbMATH DE Number: 1422693
zbMATH Keywords: finite element method
zbMATH Keywords: diffusion-convection-reaction equation
zbMATH Keywords: SUPG method
zbMATH Keywords: characteristic-Galerkin method
zbMATH Keywords: Taylor-Galerkin method
zbMATH Keywords: sub-grid scale model
zbMATH Keywords: bubble functions
MaRDI profile type: Publication
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. VIII. The Galerkin/least-squares method for advective-diffusive equations
cites work: Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
cites work: Bubble functions prompt unusual stabilized finite element methods.
cites work: Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
cites work: On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
cites work: The solution of non-linear hyperbolic equation systems by the finite element method
cites work: A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme
cites work: A Taylor-Galerkin method for convective transport problems
cites work: A study of numerical methods for hyperbolic conservation laws with stiff source terms
cites work: A Method for the Numerical Calculation of Hydrodynamic Shocks
cites work: A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems
cites work: Q3857926
cites work: The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements
cites work: A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
cites work: Finite element methods for linear hyperbolic problems
cites work: Finite Element Collocation Methods for First Order Systems
cites work: Q1091210
cites work: Mixed and Hybrid Finite Element Methods
cites work: Q1097795
cites work: Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
cites work: A new finite element formulation for computational fluid dynamics. IX: Fourier analysis of space-time Galerkin/least-squares algorithms
cites work: What are \(C\) and \(h\)?: Inequalities for the analysis and design of finite element methods
cites work: Q4863026
cites work: An Absolutely Stabilized Finite Element Method for the Stokes Problem
cites work: Stabilized finite element methods. I.: Application to the advective- diffusive model
cites work: A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem
cites work: A relationship between stabilized finite element methods and the Galerkin method with bubble functions
cites work: A stable finite element for the Stokes equations
cites work: Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
cites work: Maximum principle and uniform convergence for the finite element method
cites work: A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation
full work available at URL: s0045-7825(97)00206-5
OpenAlex ID: W2125529818
Wikidata QID: Q126803759
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description: scientific article; zbMATH DE number 1422693