Adaptive time-domain boundary element methods and engineering applications

Time-domain Galerkin boundary elements provide an efficient tool for the numerical solution of boundary problems for the homogeneous wave equation. We review recent advances in their a posteriori error analysis and the resulting adaptive mesh refinement procedures, as well as basic algorithmic aspects of these methods. Numerical results for adaptive mesh refinements are discussed in 2 and 3 dimensions, as are benchmark problems in a half-space related
to the transient emission of traffic noise.