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A space-time finite element method for parabolic obstacle problems
José Joaquín Carvajal, Davood Damircheli, Thomas Führer +2
We propose and analyze a general framework for space-time finite element methods that is based on least-squares finite element methods for solving a first-order reformulation of th…
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…
Space-time finite element methods for parabolic distributed optimal control problems
Thomas Führer, Michael Karkulik
We present a method for the numerical approximation of distributed optimal control problems constrained by parabolic partial differential equations. We complement the first-order o…
A DPG method for Reissner-Mindlin plates
Thomas Führer, Norbert Heuer, Antti H. Niemi
We present a discontinuous Petrov-Galerkin (DPG) method with optimal test functions for the Reissner-Mindlin plate bending model. Our method is based on a variational formulation t…
DPG methods for a fourth-order div problem
Thomas Führer, Pablo Herrera, Norbert Heuer
We study a fourth-order div problem and its approximation by the discontinuous Petrov-Galerkin method with optimal test functions. We present two variants, based on first and secon…