×

zbMATH — the first resource for mathematics

Sur la résolution numérique d’une équation intégro- différentielle singulière non linéaire de la chimie des surfaces. (French) Zbl 0582.65097
The author studies the numerical solution of a nonlinear singular integro-differential equation arising in the corrosion modelling of metals. On using an elliptic regularization one proves an existence and uniqueness result and the convergence of fixed point iterations. The numerical method, proposed by the author, seems to be very efficient as we can see from the numerical comments appended.
Reviewer: S.Sburlan
MSC:
65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
80A32 Chemically reacting flows
PDF BibTeX XML Cite
Full Text: DOI EuDML
References:
[1] P. G. GIARLET, The finite element method for elliptic problems. Studies in Mathematics and its Applications. North-Holland (1978). Zbl0383.65058 MR520174 · Zbl 0383.65058
[2] L. COUDURIER, N. EUSTATOPOULOS, J. C. GJOUD, P. DESRE, Corrosion intergranulaire du cuivre par le plomb liquide sous l’effet des forces capillaires. Journal de Chimie Physique, 3, 289-294 (1977).
[3] J. DUCHON, R. ROBERT, Creusement d’un sillon par capillarité. Un modèle approché. Rapport de Recherche Imag n^\circ 280 (1981).
[4] J. DUCHON, R. ROBERT, A nonlinear singular integrodifferential equation arising in surface chemistry. A paraître dans J. Diff. Equation (1983). Zbl0605.45009 · Zbl 0605.45009 · doi:10.1137/0517101
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.