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.