34 citations · 67 across the 16 of their papers we have counts for
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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…
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…
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…