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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
spillover |
| 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. |
| URI: | http://dspace.vgtu.lt/handle/1/3635 |
| ISSN: | 1392-5113 |
| Appears in Collections: | Moksliniai straipsniai / Research articles
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