Time Domain Boundary Element Method: Galerkin Formulation, Coupling, and Perspectives

Univ.-Prof. Dr. Martin Schanz

July 10, 2007, 1:30 p.m. HF 136

Wave propagation phenomena occur in reality often in semi-infinite regions with areas governed by different physical models. A dam-reservoir system is such a typical example. There, a semi-infinite fluid region is coupled with a dam (e.g., made of concrete) and with the semiinfinite surrounding soil. To simulate such a three-dimensional multi-physical problem several numerical methods have to be coupled and each method itself has to be efficient.

Here, a symmetric Galerkin Boundary Element Method (BEM) based on the Convolution Quadrature Method (CQM) is presented. The essential aspects, particularly the regularization of the hypersingular kernel, are discussed. Some parametric studies are shown including a comparison with the collocation based formulation. In the second part, a mortar type coupling procedure for non-conforming meshes is deduced and verified.

A perspective on future works will close the presentation.