Non-conforming FEM/BEM Coupling in Time Domain

The combination of finite and boundary element methods for the numerical solution
of coupled problems has a long tradition. It has proved to be the method of choice
for several applications among which are the acoustic-structure coupling or the soilstructure
interaction. In this work, the concept of combining these two approximation
methods is carried forward to dynamic problems by developing a coupling framework
in which the local discretization method can be chosen independently. In fact, a
Lagrange multiplier domain decomposition approach is preferred which allows for
the most flexible combination of discretization methods within the same solution
algorithm. Therefore, Dirchlet-to-Neumann maps are realized on the discrete
level for the static case or at each time step for the dynamic case. Moreover, the
treatment of nonconforming interface meshes, i. e., interface discretizations which
do not have coincident nodes or equal interpolation orders, is included easily into
this approach. The considered physical models are the acoustic wave equation and
the linear elastodynamic system together with their static limits, Laplace equation
and elastostatics.