49 citations · 119 across the 18 of their papers we have counts for
21 papers
Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering
Ralf Hiptmair, Christoph Schwab, Euan A. Spence
We consider frequency-domain acoustic scattering at a homogeneous star-shaped penetrable obstacle, whose shape is uncertain and modelled via a radial spectral parameterization with…
Coupled Boundary and Volume Integral Equations for Electromagnetic Scattering
Ignacio Labarca-Figueroa, Ralf Hiptmair
We study frequency domain electromagnetic scattering at a bounded, penetrable, and inhomogeneous obstacle . From the Stratton-Chu integral representation,…
Boundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: a two-level Substructuring Preconditioner
Martin Averseng, Xavier Claeys, Ralf Hiptmair
We present a preconditioning method for the linear systems arising from the boundary element discretization of the Laplace hypersingular equation on a -dimensional triangulated…
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients
Francesco Florian, Ralf Hiptmair, Stefan A. Sauter
In this paper we will derive an non-local (``integral'') equation which transforms a three-dimensional acoustic transmission problem with \emph{variable} coefficients, non-zero abs…
Semi-Lagrangian Finite-Element Exterior Calculus for Incompressible Flows
Wouter Tonnon, Ralf Hiptmair
We develop a mesh-based semi-Lagrangian discretization of the time-dependent incompressible Navier-Stokes equations with free boundary conditions recast as a non-linear transport p…
Fractured Meshes
Martin Averseng, Xavier Claeys, Ralf Hiptmair
This work introduces ``generalized meshes", a type of meshes suited for the discretization of partial differential equations in non-regular geometries. Generalized meshes extend re…