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The aim of this work is to analyze a convolution quadrature boundary
element approach to simulate wave propagation in porous media. In
Laplace domain the model results in an elliptic second order partial
differential equation. First, boundary value problems of interest are
described and equivalent boundary integral formulations are derived.
Unique solvability of all discussed boundary value problems and boundary
integral equations is discussed, first in Laplace domain and fi nally
also in time domain. A Galerkin discretization in space and a
convolution quadrature discretization in time is applied. Unique
solvability of the discrete systems and convergence of the approximate
solutions are discussed. Finally, the theoretical results are confirmed
by numerical experiments.