211 citations · 712 across the 40 of their papers we have counts for
4 papers · 1 filter
A note on the penalty parameter in Nitsche's method for unfitted boundary value problems
Frits de Prenter, Christoph Lehrenfeld, André Massing
Nitsche's method is a popular approach to implement Dirichlet-type boundary conditions in situations where a strong imposition is either inconvenient or simply not feasible. The me…
A stabilized trace finite element method for partial differential equations on evolving surfaces
Christoph Lehrenfeld, Maxim A. Olshanskii, Xianmin Xu
In this paper, we study a numerical method for the solution of partial differential equations on evolving surfaces. The numerical method is built on the stabilized trace finite ele…
Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations
Philipp W. Schroeder, Christoph Lehrenfeld, Alexander Linke +1
Inf-sup stable FEM applied to time-dependent incompressible Navier-Stokes flows are considered. The focus lies on robust estimates for the kinetic and dissipation energies in a two…
Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I
Philip L. Lederer, Christoph Lehrenfeld, Joachim Schöberl
We propose a new discretization method for the Stokes equations. The method is an improved version of the method recently presented in [C. Lehrenfeld, J. Schöberl, Comp. Meth. Appl…