211 citations · 712 across the 40 of their papers we have counts for
6 papers · 1 filter
Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems
Fabian Heimann, Christoph Lehrenfeld, Paul Stocker +1
We propose a new geometrically unfitted finite element method based on discontinuous Trefftz ansatz spaces. Trefftz methods allow for a reduction in the number of degrees of freedo…
Research-Data Management Planning in the German Mathematical Community
Tobias Boege, René Fritze, Christiane Görgen +13
In this paper we discuss the notion of research data for the field of mathematics and report on the status quo of research-data management and planning. A number of decentralized a…
A new T-compatibility condition and its application to the discretization of the damped time-harmonic Galbrun's equation
Martin Halla, Christoph Lehrenfeld, Paul Stocker
We consider the approximation of weakly T-coercive operators. The main property to ensure the convergence thereof is the regularity of the approximation (in the vocabulary of discr…
Robust finite element discretizations for a simplified Galbrun's equation
Tilman Alemán, Martin Halla, Christoph Lehrenfeld +1
Driven by the challenging task of finding robust discretization methods for Galbrun's equation, we investigate conditions for stability and different aspects of robustness for diff…
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains
Fabian Heimann, Christoph Lehrenfeld, Janosch Preuß
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…
Embedded Trefftz discontinuous Galerkin methods
Christoph Lehrenfeld, Paul Stocker
In Trefftz discontinuous Galerkin methods a partial differential equation is discretized using discontinuous shape functions that are chosen to be elementwise in the kernel of the…