4 papers
Local error estimates for a finite element method combining linear and nonlinear stabilization for the linear hyperbolic transport equation
Erik Burman, Fabian Heimann
In this paper, we investigate the combination of a linear continuous interior penalty type and a non-linear artificial diffusion stabilisation applied to the transport problem, bas…
Higher Order Unfitted Space-Time Methods for Transport Problems
Erik Burman, Fabian Heimann
In this article, we present an Unfitted Space-Time Finite Element method for the scalar transport equation posed on moving domains. We consider the case of the domain boundary bein…
Discretization Error Analysis of a High Order Unfitted Space-Time Method for moving domain problems
Fabian Heimann, Christoph Lehrenfeld, Janosch PreuÃ
We present a numerical analysis of a higher order unfitted space-time Finite Element method applied to a convection-diffusion model problem posed on a moving bulk domain. The metho…
Geometry Error Analysis of a parametric mapping for Higher Order Unfitted Space-Time Methods
Fabian Heimann, Christoph Lehrenfeld
In [Heimann, Lehrenfeld, PreuÃ, SIAM J. Sci. Comp. 45(2), 2023, B139 - B165] new geometrically unfitted space-time Finite Element methods for partial differential equations posed…