Search Results for author: Anja Schmidt

Found 3 papers, 2 papers with code

$H^1$-Stability of the $L^2$-Projection onto Finite Element Spaces on Adaptively Refined Quadrilateral Meshes

1 code implementation28 Aug 2020 Mazen Ali, Stefan A. Funken, Anja Schmidt

The $L^2$-orthogonal projection $\Pi_h:L^2(\Omega)\rightarrow\mathbb{V}_h$ onto a finite element (FE) space $\mathbb{V}_h$ is called $H^1$-stable iff $\|\nabla\Pi_h u\|_{L^2(\Omega)}\leq C\|u\|_{H^1(\Omega)}$, for any $u\in H^1(\Omega)$ with a positive constant $C\neq C(h)$ independent of the mesh size $h>0$.

Numerical Analysis Numerical Analysis 65M50

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