76 citations · 315 across the 31 of their papers we have counts for
5 papers · 1 filter
Well-posedness of first-order acoustic wave equations and space-time finite element approximation
Thomas Führer, Roberto González, Michael Karkulik
We study a first-order system formulation of the (acoustic) wave equation and prove that the operator of this system is an isomorphsim from an appropriately defined graph space to…
A DPG method for linear quadratic optimal control problems
Thomas Führer, Francisco Fuica
The DPG method with optimal test functions for solving linear quadratic optimal control problems with control constraints is studied. We prove existence of a unique optimal solutio…
Mixed finite elements for Kirchhoff-Love plate bending
Thomas Führer, Norbert Heuer
We present a mixed finite element method with triangular and parallelogram meshes for the Kirchhoff-Love plate bending model. Critical ingredient is the construction of low-dimensi…
Robust DPG Fortin operators
Thomas Führer, Norbert Heuer
At the fully discrete setting, stability of the discontinuous Petrov--Galerkin (DPG) method with optimal test functions requires local test spaces that ensure the existence of Fort…
A DPG method for the quad-curl problem
Thomas Führer, Pablo Herrera, Norbert Heuer
We derive an ultraweak variational formulation of the quad-curl problem in two and three dimensions. We present a discontinuous Petrov-Galerkin (DPG) method for its approximation a…