• Media type: Text; Report; E-Book
  • Title: Stability and convergence of the Ritz map in the maximum norm for nonconforming finite elements
  • Contributor: Dörich, Benjamin [Author]; Leibold, Jan [Author]; Maier, Bernhard [Author]
  • Published: Karlsruher Institut für Technologie, 2021-12-22
  • Language: English
  • DOI: https://doi.org/10.5445/IR/1000141502/v2
  • Keywords: isoparametric finite elements ; weighted norms ; non-conforming space discretization ; Ritz map ; maximum norm estimates ; Mathematics
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  • Description: In this report, we consider the Poisson problem on a domain with regular boundary and discretize it with isoparametric finite elements of order $k\geq1$. We study a (generalized) Ritz map and show stability and convergence of optimal order $k$ in $W^{1,\infty}$.
  • Access State: Open Access