An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes

Edge-based nonlinear diffusion for finite element approximations of convection–diffusion equations and its relation to algebraic flux-correction schemes

(2016) Gabriel R. Barrenechea et al.   NUMERISCHE MATHEMATIK

Analysis of Algebraic Flux Correction Schemes

(2016) Gabriel R. Barrenechea et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On discrete maximum principles for discontinuous Galerkin methods

(2015) Santiago Badia et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A maximum-principle preserving finite element method for scalar conservation equations

(2014) Jean-Luc Guermond et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Some analytical results for an algebraic flux correction scheme for a steady convection–diffusion equation in one dimension

(2014) Gabriel R. Barrenechea et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations

(2014) Jean-Luc Guermond et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems

(2014) Santiago Badia et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Weighting the Edge Stabilization

(2013) Alexandre Ern et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

An assessment of discretizations for convection-dominated convection–diffusion equations

(2011) Matthias Augustin et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes

(2011) Dmitri Kuzmin   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes

(2010) Zhiming Gao et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems

(2009) D. Kuzmin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Finite element methods for time-dependent convection–diffusion–reaction equations with small diffusion

(2008) Volker John et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Explicit and implicit FEM-FCT algorithms with flux linearization

(2008) Dmitri Kuzmin   JOURNAL OF COMPUTATIONAL PHYSICS

On the design of algebraic flux correction schemes for quadratic finite elements

(2007) Dmitri Kuzmin   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS