activity
20142022
most citedAnalysis of optimal preconditioners for CutFEM

13 citations · 17 across the 5 of their papers we have counts for

collaborators

6 papers

math.NA2022★ 13 cited

Analysis of optimal preconditioners for CutFEM

Sven Gross, Arnold Reusken

In this paper we consider a class of unfitted finite element methods for scalar elliptic problems. These so-called CutFEM methods use standard finite element spaces on a fixed unfi…

math.NA2021

Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method

Sven Gross, Arnold Reusken

In this paper we consider a class of fictitious domain finite element methods known from the literature. These methods use standard finite element spaces on a fixed unfitted triang…

math.NA2018★ 2 cited

A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems

Thomas Ludescher, Sven Gross, Arnold Reusken

We consider discrete Poisson interface problems resulting from linear unfitted finite elements, also called cut finite elements (CutFEM). Three of these unfitted finite element met…

math.NA2017

A Trace Finite Element Method for Vector-Laplacians on Surfaces

Sven Groß, Thomas Jankuhn, Maxim A. Olshanskii +1

We consider a vector-Laplace problem posed on a 2D surface embedded in a 3D domain, which results from the modeling of surface fluids based on exterior Cartesian differential opera…

math.NA2016

Memory-efficient recycling of large Krylov-subspaces for sequences of Hermitian linear systems

Martin Peter Neuenhofen, Sven Groß

We present a new short-recurrence reaidual-optimal Krylov subspace recycling method for sequences of Hermitian systems of linear equations with a fixed system matrix and changing r…

math.NA2014★ 2 cited

A trace finite element method for a class of coupled bulk-interface transport problems

Sven Gross, Maxim A. Olshanskii, Arnold Reusken

In this paper we study a system of advection-diffusion equations in a bulk domain coupled to an advection-diffusion equation on an embedded surface. Such systems of coupled partial…