3 papers
math.AP2024
Constant rank operators in Korn-Maxwell-Sobolev inequalities
Peter Lewintan, Paul Stephan
We focus on Korn-Maxwell-Sobolev inequalities for operators of reduced constant rank. These inequalities take the form \[ \|P - Π_{\mathbb{B}} Π_{\ker\mathscr{A}} P\|_{\dot{\mathrm…
math.NA2023
Novel -conforming finite elements for the relaxed micromorphic sequence
Adam Sky, Michael Neunteufel, Peter Lewintan +2
In this work we construct novel -conforming finite elements for the recently introduced relaxed micromorphic sequence, which can be considered as the…
math.AP2021
The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters
Marco Valerio d'Agostino, Gianluca Rizzi, Hassam Khan +3
We consider the classical Mindlin-Eringen linear micromorphic model with a new strictly weaker set of displacement boundary conditions. The new consistent coupling condition aims a…