76 citations · 315 across the 31 of their papers we have counts for
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math.NA2016
On the DPG method for Signorini problems
Thomas Führer, Norbert Heuer, Ernst P. Stephan
We derive and analyze discontinuous Petrov-Galerkin methods with optimal test functions for Signorini-type problems as a prototype of a variational inequality of the first kind. We…
math.NA2016
A time-stepping DPG scheme for the heat equation
Thomas Führer, Norbert Heuer, Jhuma Sen Gupta
We introduce and analyze a discontinuous Petrov-Galerkin method with optimal test functions for the heat equation. The scheme is based on the backward Euler time stepping and uses…
math.NA2016
Robust coupling of DPG and BEM for a singularly perturbed transmission problem
Thomas Führer, Norbert Heuer
We consider a transmission problem consisting of a singularly perturbed reaction diffusion equation on a bounded domain and the Laplacian in the exterior, connected through standar…