The authors use a version of the so-called symmetric FEM-BEM method introduced independently by M. Costabel
[Boundary Elements IX, Vol. 1, A. Brebbia et al., eds., Springer-Verlag, Berlin (1987; Zbl 0632.73077
)] and H. Han
[J. Comput. Math. 8, No. 3, 223-232 (1990; Zbl 0712.65093
)] to discretize an exterior quasilinear problem. (The FEM-BEM method is a coupling of the finite element method (FEM) and the boundary element method (BEM).) The authors provide error estimates for the Galerkin method and propose a fully discrete scheme based on simple quadrature formulas. They show that these numerical integration schemes preserve the optimal rate of convergence. Finally, they present results of numerical experiments involving their discretization method.