97 citations · 381 across the 25 of their papers we have counts for
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A robust DPG method for singularly perturbed reaction-diffusion problems
Norbert Heuer, Michael Karkulik
We present and analyze a discontinuous Petrov-Galerkin method with optimal test functions for a reaction-dominated diffusion problem in two and three space dimensions. We start wit…
On the coupling of DPG and BEM
Thomas Führer, Norbert Heuer, Michael Karkulik
We develop and analyze strategies to couple the discontinuous Petrov-Galerkin method with optimal test functions to (i) least-squares boundary elements and (ii) various variants of…
DPG method with optimal test functions for a fractional advection diffusion equation
Vincent J. Ervin, Thomas Führer, Norbert Heuer +1
We develop an ultra-weak variational formulation of a fractional advection diffusion problem in one space dimension and prove its well-posedness. Based on this formulation, we defi…
Local inverse estimates for non-local boundary integral operators
Markus Aurada, Michael Feischl, Thomas Führer +3
We prove local inverse-type estimates for the four non-local boundary integral operators associated with the Laplace operator on a bounded d-dimensional Lipschitz domain Omega for…