TY - GEN A1 - Kleefeld, Andreas T1 - The exterior problem for the Helmholtz equation with mixed boundary conditions in three dimensions T2 - International Journal of Computer Mathematics N2 - In this article, a new integral equation is derived to solve the exterior problem for the Helmholtz equation with mixed boundary conditions in three dimensions, and existence and uniqueness is proven for all wave numbers. We apply the boundary element collocation method to solve the system of Fredholm integral equations of the second kind, where we use constant interpolation. We observe superconvergence at the collocation nodes and illustrate it with numerical results for several smooth surfaces. KW - Helmholtz equation, integral equation, mixed boundary conditions, boundary element collocation method, superconvergence Y1 - 2013 UR - https://opus4.kobv.de/opus4-UBICO/frontdoor/index/index/docId/8364 UR - http://www.tandfonline.com/doi/full/10.1080/00207160.2012.709932 SN - 0020-7160 SN - 1029-0265 VL - 89 IS - 17 SP - 2392 EP - 2409 ER -