Poole, M. W.; Aitchison, J. M. Numerical model of an electropaint process with applications to the automotive industry. (English) Zbl 0887.65127 IMA J. Math. Appl. Bus. Ind. 8, No. 4, 347-360 (1997). The authors consider the problem of electropainting a car. The model for this involves Laplace’s equation with a somewhat complicated set of boundary conditions involving a Signorini problem. They cast the problem into an integral equation involving integration over the boundary and solve it by means of the boundary element method. They formulate a computer model of the throw-power workpiece for the purpose of comparing different paints and discuss the paint distribution on the roofs of cars. Diagrams are given which illustrate this. Reviewer: Ll.G.Chambers (Bangor) Cited in 8 Documents MSC: 65Z05 Applications to the sciences 78A55 Technical applications of optics and electromagnetic theory 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35Q60 PDEs in connection with optics and electromagnetic theory 65N38 Boundary element methods for boundary value problems involving PDEs 74A55 Theories of friction (tribology) 74M15 Contact in solid mechanics Keywords:electropaint process; automotive industry; Laplace’s equation; Signorini problem; boundary element method PDFBibTeX XMLCite \textit{M. W. Poole} and \textit{J. M. Aitchison}, IMA J. Math. Appl. Bus. Ind. 8, No. 4, 347--360 (1997; Zbl 0887.65127)