In this paper, based on the study of [1], the discretizations of the coupling of finite elemellt and boundary integral are presented to solve the initial boundary value problem of parabolic partial differential equation defined on an unbounded domain.The semi-discrete scheme and fully discrete scheme are given, and stability theorem and error estimates, which correspond to discrete scheme respectively,are obtained.Finally,the numerical example is provided,and numerical result shows that the method is feasible and effective.
In this Paper, a coupled natural boundary-finite element method is presented for solving three-dimensional Helmholtz equation in an unbounded domain.The existence and uniqueness of the solution for both continuous and discrete problems are studied.Error estimated and some numerical results are given.
