3 papers
physics.flu-dyn2025
A fast mesh-free boundary integral method for two-phase flow with soluble surfactant
Samantha G. Evans, Michael Siegel, Johannes Tausch +1
We present an accurate and efficient boundary integral (BI) method for simulating the deformation of drops and bubbles in Stokes flow with soluble surfactant. Soluble surfactant ad…
math.NA2024
A hybrid interpolation ACA accelerated method for parabolic boundary integral operators
Sivaram Ambikasaran, Ritesh Khan, Johannes Tausch +1
We consider piecewise polynomial discontinuous Galerkin discretizations of boundary integral reformulations of the heat equation. The resulting linear systems are dense and block-l…
math.NA2022
A Node Elimination Algorithm for Cubature of High-Dimensional Polytopes
Arkadijs Slobodkins, Johannes Tausch
Node elimination is a numerical approach to obtain cubature rules for the approximation of multivariate integrals. Beginning with a known cubature rule, nodes are selected for elim…