Quasi-static poroelastic boundary element formulation based on the convolution quadrature method

摘要

Convolution Quadrature Method (CQM)-based Boundary Element formulations are up to now used only in dynamic formulations. The main difference to usual time-stepping BE formulations is the way to solve the convolution integral appearing in most time-dependent integral equations. In the CQM formulation, this convolution integral is approximated by a quadrature rule whose weights are determined by the Laplace transformed fundamental solutions and a linear multi-step method.