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BEM simulation of cathodic protection systems employed in infinite electrolytes. (English) Zbl 0619.65122
The authors consider the numerical solution of the problem of cathode protection. The boundary condition for the potential on the cathode is nonlinear, and the authors obtain an integral equation involving the potential over the boundary, for the potential, and also involving the potential at infinity which is unknown. This is discretized using triangular boundary elements and it is stated that the nonlinear equations arising can be solved rapidly by Newton-Raphson iteration. The method is illustrated by two simple examples. The formulation discussed avoids the difficulties associated with the discretization of an infinite domain. It is also possible to find the potential at infinity.
Reviewer: Ll.G.Chambers

MSC:
65Z05 Applications to the sciences
65R20 Numerical methods for integral equations
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
78A55 Technical applications of optics and electromagnetic theory
35Q99 Partial differential equations of mathematical physics and other areas of application
35C15 Integral representations of solutions to PDEs
45G05 Singular nonlinear integral equations
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