Typically, in the finite element method for the discretization of PDEs, the geometry under
consideration is parametrized by the computational mesh yielding geometrically fitted finite …

In this paper, we propose new geometrically unfitted space-time finite element methods for
partial differential equations posed on moving domains of higher order accuracy in space …

We propose a space-time scheme that combines an unfitted finite element method in space
with a discontinuous Galerkin time discretisation for the accurate numerical approximation of …

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 [Heimann, Lehrenfeld, Preu {\ss}, SIAM J. Sci. Comp. 45 (2), 2023, B139-B165] new
geometrically unfitted space-time Finite Element methods for partial differential equations …

We present a higher order space-time unfitted finite element method for convection-diffusion
problems on coupled (surface and bulk) domains. In that way, we combine a method …