Abstract: We applied ultra weak variational method  to numerically solve a class of time harmonic scattering problem by medium. On the basis of truncation of the domain by artificial absorbing boundary, we derived ultra weak variational formula according to  the discontinuous Galerkin (DG)  method, and used the approximation property  of plane wave functions to approximate the local behavior of the field, then transformed the problem to the solution of the network boundary. The results show that  the algorithm can effectively simulate  the medium scattering problem, and is suitable for the case of big wave number with fast convergence rate. Numerical simulations verify the feasibility and  validity of the algorithm.

Key words: ultra weak variational method, discontinuous Galerkin (DG) method, medium scattering