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A nonlinear local projection stabilization for convection-diffusion-reaction equations
for convection-diffusion-reaction equations. The discretization contains a crosswind diffusion term which depends on the unknown discrete solution in a nonlinear way. Consequently, the resulting ...
BA - Obecná matematika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Front propagation in nonlinear parabolic equations
We study existence and stability of travelling waves for nonlinear convection?diffusion equations in the one-dimensional Euclidean space. The diffusion coefficient depends on the gradient in analogy with t...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Error estimates for a nonlinear local projection stabilization of transient convection-diffusion-reaction equations
A recently proposed local projection stabilization (LPS) finite element method containing a nonlinear crosswind diffusion term is analyzed for a transient convection-diffusion-reaction equation us...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Existence of solutions of a finite element flux-corrected-transport scheme
The existence of a solution is proved for a nonlinear finite element flux-corrected-transport (FEM-FCT) scheme with arbitrary time steps for evolutionary convection-diffusion-reaction equations and transpo...
Applied mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Combined Nonconforming/Mixed-Hybrid Finite Element ? Finite Volume Schemes for Contaminant Transport Simulation in Porous and Fractured Media
We propose and analyze an efficient numerical scheme for nonlinear degenerate parabolic convection?reaction?diffusion equations. We discretize the diffusion term, which generally involves...
BK - Mechanika tekutin
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Incomplete interior penalty Galerkin method for a nonlinear convection-diffusion equation
Incomplete interior penalty Galerkin method for a nonlinear convection-diffusion equation...
BK - Mechanika tekutin
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Optimal spatial error estimates for DG time discretizations
In this paper a general parabolic problem is considered and discretized by the discontinuous Galerkin (DG) method in time and, in general, in space. Optimal a priori error estimates in space as well as in time are derived and applied to the ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A Note on Variational Principle for Dissipative Reaction-Convection-Diffusion Problems
In this note we provide an application of the weighted energy-dissipation (WED) variational principle to a class of dissipative reaction-convection-diffusion problems. In particular, we study the convergence of the time-dis...
BA - Obecná matematika
- 2016 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Analysis of the discontinuous Galerkin finite element method to a scalar nonlinear convection-diffusion equation
Analysis of the discontinuous Galerkin finite element method to a scalar nonlinear convection-diffusion equation......
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Solution of degenerate convection-diffusion problems by the method of characteristics*
A new approximation scheme is proposed to solve nonlinear degenerate convection-diffusion problems. The method is based on a relaxation scheme developed for degenerate parabolic problems and on the method of charac...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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