The paper introduces a new finite element numerical method for the solution of partial
differential equations on evolving domains. The approach uses a completely Eulerian …

We develop a theoretical framework for the analysis of stabilized cut finite element methods
for the Laplace-Beltrami operator on a manifold embedded in ℝ d of arbitrary codimension …

In this contribution we present a new computational method for coupled bulk-surface
problems on time-dependent domains. The method is based on a space–time formulation …

This paper shows an inf-sup stability property for several well-known 2D and 3D Stokes
elements on triangulations which are not fitted to a given smooth or polygonal domain. The …

We develop a stabilized cut discontinuous Galerkin framework for the numerical solution of
elliptic boundary value and interface problems on complicated domains. The domain of …

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 formulate a cut finite element method for linear elasticity based on higher order elements
on a fixed background mesh. Key to the method is a stabilization term which provides control …

In this work we present the bulk-surface finite element method (BSFEM) for solving coupled
systems of bulk-surface reaction–diffusion equations (BSRDEs) on stationary volumes. Such …

We present a new high-order finite element method for the discretization of partial differential
equations on stationary smooth surfaces which are implicitly described as the zero level of a …

We develop novel stabilized cut discontinuous Galerkin methods for advection-reaction
problems. The domain of interest is embedded into a structured, unfitted background mesh …