In the context of unfitted finite element discretizations, the realization of high-order methods
is challenging due to the fact that the geometry approximation has to be sufficiently accurate …

We propose a new discretization method for PDEs on moving domains in the setting of
unfitted finite element methods, which is provably higher-order accurate in space and time …

In this article, we develop a Taylor-Hood immersed finite element (IFE) method to solve two-
dimensional Stokes interface problems. The P2-P1 local IFE spaces are constructed using …

A high-order cut finite element method is formulated for solving the elastic wave equation.
Both a single domain problem and an interface problem are treated. The boundary or …

We consider a new fictitious domain approach of higher order accuracy. To implement
Dirichlet conditions we apply the classical Nitsche method combined with a facet-based …

We design a cut finite element method for the incompressible Stokes equations on domains
with curved boundary. The cut finite element method allows for the domain boundary to cut …

In the context of unfitted finite element discretizations the realization of high order methods is
challenging due to the fact that the geometry approximation has to be sufficiently accurate …

We consider the recently introduced idea of isoparametric unfitted finite element methods
and extend it from simplicial meshes to quadrilateral and hexahedral meshes. The concept …

In this work, we analyze an unfitted discontinuous Galerkin discretization for the numerical
solution of the Stokes system based on equal higher-order discontinuous velocities and …

In this article, we present a stabilized finite element method to solve the Stokes-Stokes
interface system. To couple the Stokes equations in two different domains, we utilize …