New Poincaré-type inequalities

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Sebastian Bauer - , University of Duisburg-Essen (Author)
  • Patrizio Neff - , University of Duisburg-Essen (Author)
  • Dirk Pauly - , Institute of Analysis, University of Duisburg-Essen (Author)
  • Gerhard Starke - , University of Duisburg-Essen (Author)

Abstract

We present some Poincaré-type inequalities for quadratic matrix fields with applications e.g. in gradient plasticity or fluid dynamics. In particular, applications to the pseudostress-velocity formulation of the stationary Stokes problem and to infinitesimal gradient plasticity are discussed.

Details

Original languageEnglish
Pages (from-to)163-166
Number of pages4
JournalComptes Rendus Mathematique
Volume352
Issue number2
Publication statusPublished - Feb 2014
Peer-reviewedYes

External IDs

ORCID /0000-0003-4155-7297/work/145224244
WOS 000330822400017

Keywords

ASJC Scopus subject areas

Keywords

  • Finite-element methods, Least-squares methods, Gradient viscoplasticity, Well-posedness, Plasticity, Uniqueness, Existence, Flow