Computational PDEs

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#Unfitted FEM

41 related items across research, news and publications.

▸Research topics (2)
Moving domainsUnfitted FEM
▸News & Events (13)
Oct 2026ngsxfem 2.1.2608 released
Sep 2025Bachelor's thesis completed: Daniel Haneke
Apr 2025Mika Meyer submitted his Bachelor's thesis
Jan 2025Fabian Heimann defended his Ph.D. thesis
Apr 2023Erik Schlesinger submitted his Master's thesis
Feb 2023Yimin Lou defended her Ph.D. thesis
Feb 2022Anna Clara Wendler submitted her Master's thesis
Feb 2022Michelle Kemper submitted her Master's thesis
Oct 2020Fabian Heimann submitted his Master's thesis
2019Xingren Jin submitted her Master's thesis
2018Fabian Heimann submitted his Bachelor's thesis
Feb 2018Janosch Preuß submitted his Master's thesis
Feb 2018Hans-Georg Raumer submitted his Master's thesis
▸Publications (26)
On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems
Christoph Lehrenfeld · 2015
Nitsche-XFEM with streamline diffusion stabilization for a two-phase mass transport problem
Christoph Lehrenfeld, Arnold Reusken · 2012
Analysis of a Nitsche XFEM-DG Discretization for a class of Two-Phase Mass Transport Problems
Christoph Lehrenfeld, Arnold Reusken · 2013
Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport
Christoph Lehrenfeld, Arnold Reusken · 2015
High-order Unfitted Discretizations for Partial Differential Equations Coupled with Geometric Flow
Yimin Lou · 2023
Monolithic Unfitted Space-Time FEM for an Osmotic Cell Swelling Problem
Anna Clara Wendler · 2022
Pure Eulerian unfitted FEM for Biological Fluid-Structure Interaction Problems
Michelle Kemper · 2022
Higher order stabilized time stepping in unfitted finite element method on moving domains
Xingren Jin · 2019
Numerical Foundations of the Level Set Method
Mika Meyer · 2025
The Nitsche XFEM-DG space-time method and its implementation in three space dimensions
Christoph Lehrenfeld · 2015
High order unfitted finite element methods on level set domains using isoparametric mappings
Christoph Lehrenfeld · 2016
An Eulerian Finite Element Method for PDEs in time-dependent domains
Christoph Lehrenfeld, Maxim A. Olshanskii · 2019
Numerical Integration on Hyperrectangles in Isoparametric Unfitted Finite Elements
Fabian Heimann, Christoph Lehrenfeld · 2019
Higher order unfitted isoparametric space-time FEM on moving domains
Janosch Preuß · 2018
Shape Optimization for Interface Problems using unfitted Finite Elements
Hans-Georg Raumer · 2018
On Discontinuous- and Continuous-In-Time Unfitted Space-Time Methods for PDEs on Moving Domains
Fabian Heimann · 2020
Isoparametric unfitted BDF – Finite element method for PDEs on evolving domains
Yimin Lou, Christoph Lehrenfeld · 2022
ngsxfem: Add-on to NGSolve for geometrically unfitted finite element discretizations
Christoph Lehrenfeld, Fabian Heimann, Janosch Preuß, Henry von Wahl · 2021
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains
Fabian Heimann, Christoph Lehrenfeld, Janosch Preuß · 2023
Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems
Fabian Heimann, Christoph Lehrenfeld, Paul Stocker, Henry von Wahl · 2023
Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
Christoph Lehrenfeld, Tim van Beeck, Igor Voulis · 2024
A Higher Order Unfitted Space-Time Finite Element Method for Coupled Surface-Bulk problems
Fabian Heimann · 2025
Higher Order Unfitted Space-Time Finite Element Methods for Moving Domain Problems
Fabian Heimann · 2025
Geometry Error Analysis of a parametric mapping for Higher Order Unfitted Space-Time Methods
Fabian Heimann, Christoph Lehrenfeld · 2025
Discretization Error Analysis of a High Order Unfitted Space-Time Method for moving domain problems
Fabian Heimann, Christoph Lehrenfeld, Janosch Preuß · 2025
Higher order Discontinuous Galerkin methods for the Laplace-Beltrami problem on unfitted smooth surfaces
Fabian Heimann · 2018