Solution of time-dependent convection-diffusion equations with the aid of higher order adaptive methods with respect to space and time
Kůs, Pavel, Dolejší, Vít
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Kůs, Pavel, Dolejší, Vít
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Gabriel R. Barrenechea, Volker John, Petr Knobloch (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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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 addition to the standard LPS method, a nonlinear crosswind diffusion term is introduced that accounts for the reduction of spurious oscillations. The existence of a solution can be proved and, depending on the choice of the stabilization parameter, also its uniqueness. Error estimates...
M. A. Budroni, M. Rustici, E. Tiezzi (2010)
Mathematical Modelling of Natural Phenomena
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We investigate the origin of deterministic chaos in the Belousov–Zhabotinsky (BZ) reaction carried out in closed and unstirred reactors (CURs). In detail, we develop a model on the idea that hydrodynamic instabilities play a driving role in the transition to chaotic dynamics. A set of partial differential equations were derived by coupling the two variable Oregonator–diffusion system to the Navier–Stokes equations. This approach allows us to shed light on the correlation between chemical...
Viera Paulíny-Tothová (1966)
Matematicko-fyzikálny časopis
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Xavier Cabré, Joana Terra (2009)
Journal of the European Mathematical Society
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A.K. Aziz, A.B. Stephens, Manil Suri (1988)
Numerische Mathematik
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