Variational multiscale finite-element methods for a nonlinear convection-diffusion-reaction equation
From MaRDI portal
Publication:2022878
DOI10.1134/S0021894420070226zbMath1459.35248OpenAlexW3135337119WikidataQ125222439 ScholiaQ125222439MaRDI QIDQ2022878
M. S. Zhelnin, A. A. Kostina, O. A. Plekhov
Publication date: 30 April 2021
Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0021894420070226
variational multiscale methodconvection-diffusion-reaction equationspurious oscillations of numerical solutionstabilized finite-element method
Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Consistent SUPG-method for transient transport problems: stability and convergence
- Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
- A variational multiscale method for incompressible turbulent flows: bubble functions and fine scale fields
- Stability of the SUPG finite element method for transient advection-diffusion problems
- A new upwind function in stabilized finite element formulations, using linear and quadratic elements for scalar convection-diffusion problems
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- A Galerkin/least-square finite element formulation for nearly incompressible elasticity/Stokes flow
- On the performance of SOLD methods for convection-diffusion problems with interior layers
- A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
- 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
- A simple subgrid scale stabilized method for the advection-diffusion-reaction equation
- Applications of the pseudo residual-free bubbles to the stabilization of the convection-diffusion-reaction problems in 2D
- Variational multiscale modeling with discontinuous subscales: analysis and application to scalar transport
- On the choice of a stabilizing subgrid for convection-diffusion problems
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- Construction of weight functions of the Petrov-Galerkin method for convection-diffusion-reaction equations in the three-dimensional case
- Algebraic approximation of sub-grid scales for the variational multiscale modeling of transport problems
- LINK-CUTTING BUBBLES FOR THE STABILIZATION OF CONVECTION-DIFFUSION-REACTION PROBLEMS
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
- On the Choice of Parameters in Stabilization Methods for Convection–Diffusion Equations
