39 citations · 114 across the 35 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…
A wirebasket preconditioner for the mortar boundary element method
Thomas Führer, Norbert Heuer
We present and analyze a preconditioner of the additive Schwarz type for the mortar boundary element method. As a basic splitting, on each subdomain we separate the degrees of free…
A non-conforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator
Norbert Heuer, Gredy Salmerón
We present and analyze a non-conforming domain decomposition approximation for a hypersingular operator governed by the Helmholtz equation in three dimensions. This operator appear…