13 citations · 14 across the 5 of their papers we have counts for
9 papers · 1 filter
Tensor finite elements for smectic liquid crystals
Thomas Führer, Norbert Heuer, Torsten Linß
We present a tensor-based finite element scheme for a smectic-A liquid crystal model. We propose a simple Céa-type finite element projection in the linear case and prove its quasi-…
Space-time FEM-BEM couplings for parabolic transmission problems
Thomas Führer, Gregor Gantner, Michael Karkulik
We develop couplings of a recent space-time first-order system least-squares (FOSLS) method for parabolic problems and space-time boundary element methods (BEM) for the heat equati…
First-order system least-squares finite element method for singularly perturbed Darcy equations
Thomas Führer, Juha Videman
We define and analyse a least-squares finite element method for a first-order reformulation of a scaled Brinkman model of fluid flow through porous media. We introduce a pseudostre…
MINRES for second-order PDEs with singular data
Thomas Führer, Norbert Heuer, Michael Karkulik
Minimum residual methods such as the least-squares finite element method (FEM) or the discontinuous Petrov--Galerkin method with optimal test functions (DPG) usually exclude singul…
A DPG method for shallow shells
Thomas Führer, Norbert Heuer, Antti H. Niemi
We develop and analyze a discontinuous Petrov--Galerkin method with optimal test functions (DPG method) for a shallow shell model of Koiter type. It is based on a uniformly stable…
Analysis of backward Euler primal DPG methods
Thomas Führer, Norbert Heuer, Michael Karkulik
We analyse backward Euler time stepping schemes for the primal DPG formulation of a class of parabolic problems. Optimal error estimates are shown in the natural norm and in the $L…
A short note on plain convergence of adaptive least-squares finite element methods
Thomas Führer, Dirk Praetorius
We show that adaptive least-squares finite element methods driven by the canonical least-squares functional converge under weak conditions on PDE operator, mesh-refinement, and mar…
Ultraweak formulation of linear PDEs in nondivergence form and DPG approximation
Thomas Führer
We develop and analyze an ultraweak formulation of linear PDEs in nondivergence form where the coefficients satisfy the Cordes condition. Based on the ultraweak formulation we prop…
An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation
Thomas Führer, Norbert Heuer, Francisco-Javier Sayas
We develop and analyze an ultraweak variational formulation of the Reissner-Mindlin plate bending model both for the clamped and the soft simply supported cases. We prove well-pose…