A mathematical model for the mechanical etching of glass

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Abstract

A nonlinear first-order PDE describing the displacement of a glass surface subject to solid particle erosion is presented. The analytical solution is derived by means of the method of characteristics. Alternatively, the Engquist-Osher scheme is applied to compute a numerical solution.
Original languageEnglish
Title of host publicationProgress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004)
EditorsA. Di Bucchianico, R.M.M. Mattheij, M.A. Peletier
Place of PublicationBerlin
PublisherSpringer
Pages386-390
ISBN (Print)3-540-28073-1
DOIs
Publication statusPublished - 2006

Publication series

NameMathematics in Industry
Volume8
ISSN (Print)1612-3956

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    Thije Boonkkamp, ten, J. H. M. (2006). A mathematical model for the mechanical etching of glass. In A. Di Bucchianico, R. M. M. Mattheij, & M. A. Peletier (Eds.), Progress in Industrial Mathematics at ECMI 2004 (Proceedings 13th European Conference on Mathematics for Industry, Eindhoven, The Netherlands, June 21-25, 2004) (pp. 386-390). (Mathematics in Industry; Vol. 8). Berlin: Springer. https://doi.org/10.1007/3-540-28073-1_62