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A unified analysis of algebraic flux correction schemes for convection-diffusion equations
Recent results on the numerical analysis of Algebraic Flux Correction (AFC) finite element schemes for scalar convection-diffusion equations are reviewed between AFC schemes and nonlinear edge-based diffusion schem...
Applied mathematics
- 2018 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Výsledek na webu
Improvements of the Mizukami-Hughes method for convection-diffusion equations
We propose several modifications of the Mizukami-Hughes method for the numerical solution of scalar two-dimensional steady convection-diffusion equations. The improved method still satisfies the discrete maximum pr...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Some analytical results for an algebraic flux correction scheme for a steady convection-diffusion equation in one dimension
Algebraic flux correction schemes are nonlinear discretizations of convection-dominated problems. In this work, a scheme from this class is studied for a steady-state convection-diffusion equation...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Numerical solution of convection-diffusion equations using upwinding techniques satisfying the discrete maximum principle
We discuss the application of the finite element method to the numerical solution of scalar two-dimensional steady convection-diffusion equations with the emphasis on upwinding techniques satisfying the discrete ma...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
A generalization of the local projection stabilization for convection-diffusion-reaction equations
We introduce a generalization of the local projection stabilization for steady scalar convection-diffusion-reaction equations which allows us to use local projection spaces defined on overlapping sets....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
An extension of the local projection stabilization (LPS) finite element method for convection-diffusion-reaction equations is presented and analyzed, both in the steady-state and the transient setting. In ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations
schemes for steady convection-diffusion-reaction (CDR) equations. The proposed into the fluxes and intermediate states of the MCL procedure. The design of our new limiter is motivated by the desire to pre...
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A linearity preserving algebraic flux correction scheme of upwind type satisfying the discrete maximum principle on arbitrary meshes
Various choices of limiters in the framework of algebraic flux correction (AFC) schemes applied to the numerical solution of scalar steady-state convection-diffusion-reaction equations are discussed. A new...
Applied mathematics
- 2019 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Local projection method for convection-diffusion-reaction problems with projection spaces defined on overlapping sets
We extend the local projection finite element method for steady scalar convection-diffusion-reaction equations to local projection spaces defined on overlapping sets. The main result of the paper is an optimal erro...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
The L1-Stability of Constant States of Degenerate Convection-Diffusion Equations.
Original scientific paper dealing with The L1-Stability of Constant States of Degenerate Convection-Diffusion Equations....
BA - Obecná matematika
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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