20 citations · 36 across the 4 of their papers we have counts for
6 papers
New a posteriori error estimates for full-space transmission problems
Alexander Freiszlinger, Dirk Pauly, Dirk Praetorius +1
In the present work, we derive functional upper bounds for the potential error arising from finite-element boundary-element coupling formulations for a nonlinear Poisson-type trans…
Hilbert Complexes with Mixed Boundary Conditions -- Part 3: Biharmonic Complexes
Dirk Pauly, Michael Schomburg
We show that the biharmonic Hilbert complex with mixed boundary conditions on bounded strong Lipschitz domains is closed and compact. The crucial results are compact embeddings whi…
Hilbert Complexes with Mixed Boundary Conditions -- Part 2: Elasticity Complex
Dirk Pauly, Michael Schomburg
We show that the elasticity Hilbert complex with mixed boundary conditions on bounded strong Lipschitz domains is closed and compact. The crucial results are compact embeddings whi…
Hilbert Complexes with Mixed Boundary Conditions -- Part 1: De Rham Complex
Dirk Pauly, Michael Schomburg
We show that the de Rham Hilbert complex with mixed boundary conditions on bounded strong Lipschitz domains is closed and compact. The crucial results are compact embeddings which…
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…
The Maxwell Compactness Property in Bounded Weak Lipschitz Domains with Mixed Boundary Conditions
Sebastian Bauer, Dirk Pauly, Michael Schomburg
For a bounded weak Lipschitz domain we show the so called `Maxwell compactness property', that is, the space of square integrable vector fields having square integrable weak rotati…