20 citations · 47 across the 20 of their papers we have counts for
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A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions
Sarah Eberle, Francesco Florian, Ralf Hiptmair +1
In this paper, we consider an acoustic wave transmission problem with mixed boundary conditions of Dirichlet, Neumann, and impedance type. The transmission interfaces may join the…
Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems
Jens M. Melenk, Stefan A. Sauter, Céline Torres
We present a stability and convergence theory for the lossy Helmholtz equation and its Galerkin discretization. The boundary conditions are of Robin type. All estimates are explici…
Variable Order, Directional H2-Matrices for Helmholtz Problems with Complex Frequency
Steffen Börm, Maria Lopez-Fernandez, Stefan Sauter
The sparse approximation of high-frequency Helmholtz-type integral operators has many important physical applications such as problems in wave propagation and wave scattering. The…
Benchmark computation of eigenvalues with large defect for non-selfadjoint elliptic differential operators
Rebekka Gasser, Joscha Gedicke, Stefan Sauter
In this paper we present benchmark problems for non-selfadjoint elliptic eigenvalue problems with large defect and ascent. We describe the derivation of the benchmark problem with…