A stabilized method for transient transport equations

DOI10.1007/s00466-010-0465-5zbMath1301.76050OpenAlexW2034108710MaRDI QIDQ977224

Carlos A. A. Henao, Alvaro L. G. A. Coutinho, Leopoldo P. Franca

Publication date: 21 June 2010

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-010-0465-5

zbMATH Keywords

Rothe's methodstabilized methodsadvective-reactive-diffusive equationsmall time-step oscillationstransient stabilizationUSFEM

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Diffusion and convection (76R99)

Related Items

ANALYSIS OF THE SPACE SEMI-DISCRETIZED SUPG METHOD FOR TRANSIENT CONVECTION–DIFFUSION EQUATIONS ⋮ Multiscale finite element method applied to the Spalart-Allmaras turbulence model for 3D detached-eddy simulation

Cites Work

• A time discretization scheme based on Rothe's method for dynamical contact problems with friction
• Stability of semidiscrete formulations for parabolic problems at small time steps
• Pressure stabilization of finite element approximations of time-dependent incompressible flow problems
• On a multiscale approach to the transient Stokes problem: dynamic subscales and anisotropic space-time discretization
• Coupling stabilized finite element methods with finite difference time integration for advection-diffusion-reaction problems
• Bubble functions prompt unusual stabilized finite element methods.
• Finite element stabilization parameters computed from element matrices and vectors
• On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
• Combining stabilized finite element methods
• A stabilized finite element method for incompressible flow and heat transfer: A natural derivation based on the use of local time-steps
• On stabilized finite element methods for the Stokes problem in the small time step limit
• Control strategies for timestep selection in finite element simulation of incompressible flows and coupled reaction-convection-diffusion processes
• Semidiscrete formulations for transient transport at small time steps
• COMBINING ADJOINT STABILIZED METHODS FOR THE ADVECTION-DIFFUSION-REACTION PROBLEM

This page was built for publication: A stabilized method for transient transport equations