49 citations · 174 across the 33 of their papers we have counts for
4 papers · 2 filters
On Maxwell's and Poincare's Constants
Dirk Pauly
We prove that for bounded and convex domains in three dimensions, the Maxwell constants are bounded from below and above by Friedrichs' and Poincaré's constants. In other words, th…
On the Maxwell Inequalities for Bounded and Convex Domains
Dirk Pauly
For a bounded and convex domain in three dimensions we show that the Maxwell constants are bounded from below and above by Friedrichs' and Poincare's constants.
Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions
Sebastian Bauer, Patrizio Neff, Dirk Pauly +1
For an n-dimensional bounded domain we derive some inequalities bounding the norm of a square tensor field. Concerning the Div-Dev-inequality the bound is given by the trace-free p…
On an Extension of Korn's First Inequality to Incompatible Tensor Fields on Domains of Arbitrary Dimensions
Patrizio Neff, Dirk Pauly, Karl-Josef Witsch
For a bounded N-dimensional domain with Lipschitz boundary we extend Korn's first inequality to incompatible tensor fields. For compatible tensor fields our estimate reduces to a n…