36 citations · 163 across the 21 of their papers we have counts for
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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…
Yet another best approximation isotropic elasticity tensor in plane strain
Jendrik Voss, Panos Gourgiotis, Peter Lewintan +2
For plane strain linear elasticity, given any anisotropic elasticity tensor , we determine a best approximating isotropic counterpart …
Novel -conforming elements on regular triangulations and Clough--Tocher splits for the planar relaxed micromorphic model
Adam Sky, Michael Neunteufel, Peter Lewintan +3
In this work we present a consistent reduction of the relaxed micromorphic model to its corresponding two-dimensional planar model, such that its capacity to capture discontinuous…
Limiting Korn-Maxwell-Sobolev inequalities for general incompatibilities
Franz Gmeineder, Peter Lewintan, Jean Van Schaftingen
We give sharp conditions for the limiting Korn-Maxwell-Sobolev inequalities \begin{align*} \lVert P\rVert_{\dot{W}{^{k-1,\frac{n}{n-1}}}(\mathbb{R}^n)}\le c\big(\lVert\mathscr{A}[P…
A computational approach to identify the material parameters of the relaxed micromorphic model
Mohammad Sarhil, Lisa Scheunemann, Peter Lewintan +2
We determine the material parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure in this work. This is achieved through a least squa…
On the representation of fourth and higher order anisotropic elasticity tensors in generalized continuum models
Marco Valerio d'Agostino, Robert J. Martin, Peter Lewintan +3
The classification of all fourth-order anisotropic tensor classes for classical linear elasticity is well known. In this article, we review the related problem of explicitly comput…