3 papers
math.NA2026
BEM for variable coefficient second-order problems
Benedikt GräÃle, 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.AP2026
On some nonlocal, nonlinear diffusion problems
M. M. Chipot, A. Luthra, S. A. Sauter
This note is devoted to some nonlocal, nonlinear elliptic problems with an emphasis on the computation of the solution of such problems, reducing it in particular to a fixed point…