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Title: The robust finite volume schemes for modeling non-classical surface reactions
Authors: Čiegis, Raimondas
Skakauskas, Vladas
Katauskis, Pranas
Keywords: system of nonlinear PDEs
finite-volume method
conservative approximation
heterogeneous reactions
surface diffusion
Issue Date: 2018
Publisher: Vilnius University Institute of Mathematics and Informatics
Citation: Čiegis, R.; Katauskis, P.; Skakauskas, V. 2018. The robust finite volume schemes for modeling non-classical surface reactions, Nonlinear analysis: modelling and control 23(2): 234–250
Series/Report no.: 23;2
Abstract: A coupled system of nonlinear parabolic PDEs arising in modeling of surface reactions with piecewise continuous kinetic data is studied. The nonclassic conjugation conditions are used at the surface of the discontinuity of the kinetic data. The finite-volume technique and the backward Euler method are used to approximate the given mathematical model. The monotonicity, conservativity, positivity of the approximations are investigated by applying these finite-volume schemes for simplified subproblems, which inherit main new nonstandard features of the full mathematical model. Some results of numerical experiments are discussed.
ISSN: 1392-5113
Appears in Collections:Moksliniai straipsniai / Research articles

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