Coupling finite and boundary element methods for static and dynamic elastic problems with non-conforming interfaces

A coupling algorithm is presented, which allows for the flexible use of finite and boundary element methods as local discretization methods. On the subdomain level, Dirichlet-to-Neumann maps are realized by means of each discretization method. Such maps are common for the treatment of static problems and are here transferred to dynamic problems. This is realized based on the similarity of the structure of the systems of equations obtained after discretization in space and time. The global set of equations is then established by incorporating the interface conditions in a weighted sense by means of Lagrange multipliers. Therefore, the interface continuity condition is relaxed and the interface meshes can be non-conforming. The field of application are problems from elastostatics and elastodynamics.