49 citations · 174 across the 33 of their papers we have counts for
6 papers · 1 filter
The Stationary Stokes Problem in Exterior Domains: Estimates of the Distance to Solenoidal Fields and Functional A Posteriori Error Estimates
Dirk Pauly, Sergey Repin
This paper is concerned with the analysis of the inf-sup condition arising in the stationary Stokes problem in exterior domains. We deduce values of the constant in the stability l…
On a Class of Degenerate Abstract Parabolic Problems and Applications to Some Eddy Current Models
Dirk Pauly, Rainer Picard, Sascha Trostorff +1
We present an abstract framework for parabolic type equations which possibly degenerate on certain spatial regions. The degeneracies are such that the equations under investigation…
A Short Note on a Weighted Friedrichs Inequality
Immanuel Anjam, Dirk Pauly
In this short note we derive, for bounded domains, an upper bound for a Friedrichs type constant in a weighted Friedrichs type inequality. This upper bound generalizes a well known…
Weck's Selection Theorem: The Maxwell Compactness Property for Bounded Weak Lipschitz Domains with Mixed Boundary Conditions in Arbitrary Dimensions
Sebastian Bauer, Dirk Pauly, Michael Schomburg
It is proved that the space of differential forms with weak exterior and co-derivative, is compactly embedded into the space of square integrable differential forms. Mixed boundary…
Time-Harmonic Electro-Magnetic Scattering in Exterior Weak Lipschitz Domains with Mixed Boundary Conditions
Frank Osterbrink, Dirk Pauly
This paper treats the time-harmonic electro-magnetic scattering or radiation problem governed by Maxwell's equations in an exterior weak Lipschitz domain divided into two disjoint…
A Global div-curl-Lemma for Mixed Boundary Conditions in Weak Lipschitz Domains
Dirk Pauly
We prove a global version of the so-called div-curl-lemma, a crucial result for compensated compactness and in homogenization theory, for mixed tangential and normal boundary condi…