39 citations · 114 across the 35 of their papers we have counts for
4 papers · 1 filter
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…
Regularity of the Solution to 1-D Fractional Order Diffusion Equations
V. J. Ervin, N. Heuer, J. P. Roop
In this article we investigate the solution of the steady-state fractional diffusion equation on a bounded domain in . From an analysis of the underlying model problem,…
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…
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…