Abstract: Based on the natural boundary element theory of curved edge finite element,a D-N alternating method with curved edge finite element is established to solve anisotropic elliptic exterior problem in the infinite domain with a concave angle,and to give the error estimation and convergence of the approximate solution of the D-N alternating method.

Key words: anisotropic elliptic exterior problem, curved edge finite element, D-N alternating method, error estimate