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math.NA2026
BEM for variable coefficient second-order problems
Benedikt Gräßle, Stefan A. Sauter
A novel boundary element method (BEM) removes the classical dependence on explicit fundamental solutions and extends quasi-optimal BEM discretisations to strongly elliptic operator…
math.NA2026
On singular Galerkin discretizations for three models in high-frequency scattering
T. Chaumont-Frelet, S. Sauter
We consider three common mathematical models for time-harmonic high frequency scattering: the Helmholtz equation in two and three spatial dimensions, a transverse magnetic problem…
math.NA2014★ 5 cited
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…