76 citations · 315 across the 31 of their papers we have counts for
4 papers · 1 filter
Superconvergent DPG methods for second order elliptic problems
Thomas Führer
We consider DPG methods with optimal test functions and broken test spaces based on ultra-weak formulations of general second order elliptic problems. Under some assumptions on the…
Superconvergence in a DPG method for an ultra-weak formulation
Thomas Führer
In this work we study a DPG method for an ultra-weak variational formulation of a reaction-diffusion problem. We improve existing a priori convergence results by sharpening an appr…
Combining the DPG method with finite elements
Thomas Führer, Norbert Heuer, Michael Karkulik +1
We propose and analyze a discretization scheme that combines the discontinuous Petrov-Galerkin and finite element methods. The underlying model problem is of general diffusion-adve…
A linear Uzawa-type solver for nonlinear transmission problems
Thomas Führer, Dirk Praetorius
We propose an Uzawa-type iteration for the Johnson-Nédélec formulation of a Laplace-type transmission problem with possible (strongly monotone) nonlinearity in the interior domain.…