5 citations · 5 across the 3 of their papers we have counts for
5 papers
Solvability of Discrete Helmholtz Equations
Maximilian Bernkopf, Stefan Sauter, Céline Torres +1
We study the unique solvability of the discretized Helmholtz problem with Robin boundary conditions using a conforming Galerkin -finite element method. Well-posedness of the di…
Numerical approximation of Poisson problems in long domains
Michel Chipot, Wolfgang Hackbusch, Stefan Sauter +1
In this paper, we consider the Poisson equation on a "long" domain which is the Cartesian product of a one-dimensional long interval with a (d-1)-dimensional domain. The right-hand…
Efficient Solution of Time-Domain Boundary Integral Equations Arising in Sound-Hard Scattering
A. Veit, M. Merta, J. Zapletal +1
We consider the efficient numerical solution of the three-dimensional wave equation with Neumann boundary conditions via time-domain boundary integral equations. A space-time Galer…
Efficient computation of highly oscillatory integrals by using QTT tensor approximation
Boris Khoromskij, Alexander Veit
We propose a new method for the efficient approximation of a class of highly oscillatory weighted integrals where the oscillatory function depends on the frequency parameter $ω\geq…
Adaptive Time Discretization for Retarded Potentials
Stefan Sauter, Alexander Veit
In this paper, we will present advanced discretization methods for solving retarded potential integral equations. We employ a -partition of unity method in time and a c…