Modelling wave propagation phenomena in time domain by using the symmetric Galerkin BEM and the Convolution Quadrature Method

Seismic Wave-Field Propagation Modelling using the Euler Method

Wave-field extrapolation based on solving the wave equation is an important step in seismic modeling and needs a high level of accuracy. It has been implemented through a various numerical methods such as finite difference method as the most popular and conventional one. Moreover, the main drawbacks of the finite difference method are the low level of accuracy and the numerical dispersion for l...

für Mathematik in den Naturwissenschaften Leipzig Wave Propagation Problems treated with Convolution Quadrature and BEM

A Time - Domain Symmetric Galerkin BEM for Viscoelastodynamics

The numerical solution of elliptic or hyperbolic boundary value problems via the Boundary Element Method has a long tradition and is well developed nowadays. The two most popular discretization schemes of the underlying boundary integral equations are the Collocation method and the Galerkin method. While the first one has been adopted to both types of boundary value problems the latter one has ...

Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge-Kutta convolution quadrature

In this paper we consider time-dependent electromagnetic scattering problems from conducting objects. We discretize the time-domain electric field integral equation using RungeKutta convolution quadrature in time and a Galerkin method in space. We analyze the involved operators in the Laplace domain and obtain convergence results for the fully discrete scheme. Numerical experiments indicate the...

Energetic Galerkin BEM and domain decomposition for 2D wave propagation problems in multi-layered media

The aim of the talk is to present an advanced implementation of a direct spacetime Galerkin boundary element method for the discretization of retarded potential boundary integral equations related to Dirichlet-Neumann 2D wave propagation problems defined on multi-domains. This technique, recently introduced for the case of a single-domain [1, 2, 4], is based on a natural energy identity satisfi...