[PDF][PDF] Higher order unfitted isoparametric space-time FEM on moving domains
J Preuß - Master's thesis, University of Gottingen, 2018 - cpde.math.uni-goettingen.de
Solving partial differential equations (PDE) on evolving geometries is a challenging and
useful task. The geometry that has to be treated in applications is often quite complicated …
useful task. The geometry that has to be treated in applications is often quite complicated …
Geometrically higher order unfitted space-time methods for PDEs on moving domains
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 …
partial differential equations posed on moving domains of higher order accuracy in space …
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains: Geometry Error Analysis
F Heimann, C Lehrenfeld - arXiv preprint arXiv:2311.02348, 2023 - arxiv.org
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 …
geometrically unfitted space-time Finite Element methods for partial differential equations …
A Higher Order Unfitted Space-Time Finite Element Method for Coupled Surface-Bulk problems
F Heimann - arXiv preprint arXiv:2401.07807, 2024 - arxiv.org
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 …
problems on coupled (surface and bulk) domains. In that way, we combine a method …