The galerkin approximation of a kind of nonlinear operator equation for boundary value problem

摘要

Based on the coupling method of the FEM and BEM, a kind of nonlinear operator equation is discussed in this paper. First the weak formulation of the nonlinear operator equation is given. The sufficient condition for the uniqueness and existence of the weak solution is obtained. By the Galerkin method, the condition for the existence and uniquencess of the discrete operator equation and the error estimation are presented.