3 papers
math.NA2022
A conforming auxiliary space preconditioner for the mass conserving mixed stress method
Lukas Kogler, Philip L. Lederer, Joachim Schöberl
We are studying the efficient solution of the system of linear equation stemming from the mass conserving mixed stress (MCS) method discretization of the Stokes equations. To that…
math.NA2021
Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling
Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer +1
We introduce two new lowest order methods, a mixed method, and a hybrid Discontinuous Galerkin (HDG) method, for the approximation of incompressible flows. Both methods use diverge…
math.NA2020
An algebraic multigrid method based on an auxiliary topology with edge matrices
Lukas Kogler, Joachim Schöberl
This paper introduces a novel approach to algebraic multigrid methods for large systems of linear equations coming from finite element discretizations of certain elliptic second or…