2 citations · 5 across the 18 of their papers we have counts for
5 papers · 2 filters
Nonlinear Two-Level Schwarz Methods: A Parallel Implementation in FROSch
Alexander Heinlein, Kyrill Ho, Axel Klawonn +1
Owing to the ability of nonlinear domain decomposition methods to improve the nonlinear convergence behavior of Newton's method, they have experienced a rise in popularity recently…
Nonlinear Monolithic Two-Level Schwarz Methods for the Navier-Stokes Equations
Axel Klawonn, Martin Lanser
Nonlinear domain decomposition methods became popular in recent years since they can improve the nonlinear convergence behavior of Newton's method significantly for many complex pr…
Adaptive and frugal BDDC coarse spaces for virtual element discretizations of a Stokes problem with heterogeneous viscosity
Tommaso Bevilacqua, Axel Klawonn, Martin Lanser
The virtual element method (VEM) is a family of numerical methods to discretize partial differential equations on general polygonal or polyhedral computational grids. However, the…
Monolithic overlapping Schwarz preconditioners for nonlinear finite element simulations of laser beam welding processes
Tommaso Bevilacqua, Axel Klawonn, Martin Lanser +1
Highly resolved finite element simulations of a laser beam welding process are considered. The thermomechanical behavior of this process is modeled with a set of thermoelasticity e…
Computational homogenization for aerogel-like polydisperse open-porous materials using neural network--based surrogate models on the microscale
Axel Klawonn, Martin Lanser, Lucas Mager +1
The morphology of nanostructured materials exhibiting a polydisperse porous space, such as aerogels, is very open porous and fine grained. Therefore, a simulation of the deformatio…