A study of solvers for nonlinear AFC discretizations of convection-diffusion equations
From MaRDI portal
Publication:2203562
DOI10.1016/j.camwa.2019.04.020zbMath1443.65343OpenAlexW2945816967WikidataQ127852341 ScholiaQ127852341MaRDI QIDQ2203562
Publication date: 7 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.04.020
steady-state convection-diffusion equationsalgebraic flux correction (AFC) schemesformal Newton methodsKuzmin and BJK limitermixed fixed point iteration
Related Items (11)
On a technique for reducing spurious oscillations in DG solutions of convection-diffusion equations ⋮ An algebraically stabilized method for convection-diffusion-reaction problems with optimal experimental convergence rates on general meshes ⋮ Locally bound-preserving enriched Galerkin methods for the linear advection equation ⋮ A numerical assessment of finite element discretizations for convection-diffusion-reaction equations satisfying discrete maximum principles ⋮ Adaptive Grids in the Context of Algebraic Stabilizations for Convection-Diffusion-Reaction Equations ⋮ An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations ⋮ Algebraic flux correction finite element method with semi-implicit time stepping for solute transport in fractured porous media ⋮ Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations ⋮ An algebraic flux correction scheme facilitating the use of Newton-like solution strategies ⋮ A residual based a posteriori error estimators for AFC schemes for convection-diffusion equations ⋮ On algebraically stabilized schemes for convection-diffusion-reaction problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An assessment of discretizations for convection-dominated convection-diffusion equations
- A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for \(P_{1}\) and \(Q_{1}\) finite elements
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions
- Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization
- A unified analysis of algebraic flux correction schemes for convection-diffusion equations
- ParMooN -- a modernized program package based on mapped finite elements
- Improvements of the Mizukami-Hughes method for convection-diffusion equations
- An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes
- Anderson Acceleration for Fixed-Point Iterations
- Analysis of Algebraic Flux Correction Schemes
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Algorithm 832
- A singularly perturbed model problem for numerical computation
- Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
This page was built for publication: A study of solvers for nonlinear AFC discretizations of convection-diffusion equations