4 papers · 1 filter
Space-Time Galerkin Boundary Element Method for the Wave Equation
Johannes Tausch
The space-time Galerkin discretization of retarded layer potentials leads to a linear system where the coefficients are expressed in terms of integrals over the ansatz and test ele…
Quadrature for Singular Integrals over convex Polytopes
Johannes Tausch
A new algorithm for the efficient numerical approximation of weakly singular integrals over convex polytopes is introduced. Such integrals appear in the Galerkin discretizations of…
A Node Elimination Algorithm for Cubature of High-Dimensional Polytopes
Arkadijs Slobodkins, Johannes Tausch
Node elimination is a numerical approach to obtain cubature rules for the approximation of multivariate integrals. Beginning with a known cubature rule, nodes are selected for elim…
A spectral method for integral formulations of medium-frequency scattering problems
Johannes Tausch
A fast method for the computation of layer potentials that arise in acoustic scattering is introduced. The principal idea is to split the singular kernel into a smooth and a local…