2 papers
math.NA2020
Numerical approximation of boundary value problems for curvature flow and elastic flow in Riemannian manifolds
Harald Garcke, Robert Nürnberg
We present variational approximations of boundary value problems for curvature flow (curve shortening flow) and elastic flow (curve straightening flow) in two-dimensional Riemannia…
math.NA2019
Fitted front tracking methods for two-phase incompressible Navier--Stokes flow: Eulerian and ALE finite element discretizations
Marco Agnese, Robert Nürnberg
We investigate novel fitted finite element approximations for two-phase Navier--Stokes flow. In particular, we consider both Eulerian and Arbitrary Lagrangian--Eulerian (ALE) finit…