Approximate moment matrix decomposition in wavelet Galerkin BEM

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...

Cubature techniques for 3 - D Galerkin BEM

We present cubature methods for the approximation of surface integrals arising from Galerkin discretizations of 3-D boundary integral equations. This numerical integrator is fully implicit in the sense that the form of the kernel function, the surface parametrization, the trial and test space, and the order of the singularity of the kernel functions are not used explicitly. Different kernels ca...

Accelerated Galerkin BEM for 3D Potential Theory

This paper is concerned with the development of a fast spectral method for solving boundary integral equations in three-dimensional potential theory. Upon discretizing the underlying boundary integrals via a Galerkin approximation, the proposed method overlays the problem domain with a regular Cartesian grid that serves as an auxiliary platform for computation. With the aid of the Fast Fourier ...

Eecient Automatic Quadrature in 3{d Galerkin Bem

We present cubature methods approximating the surface integrals arising by Galerkin discretization of boundary integral equations on surfaces in R 3. This numerical integrator does not depend on the explicit form of the kernel function, the trial and test space, or the surface parametrization. Thus, it is possible to generate the system matrix for a broad class of integral equations just by rep...

Adaptive Wavelet Galerkin